GOG is famous for generously giving us a lot of freebees on sales, and I thank them so much.
However, In my backlog, it became clear that almost 10% of them are these freebees which I will perhaps never play.
In my strategy, I always take freebees even if I don't think I will play them. Because in the future I may change my mind and play them (and find it is actually a lot of fun or enjoyable).

Do you think these freebees?

I'm not going into a discussion with a person coming from a land that sells portable quantum computers out on the streets!
(ok, maybe not streets found in any village but i'm pretty certain this is happening right now in every major city!)

I only grab freebies that I actually might play, and if it runs on my pc (mac). I don't like have thousands of games, I prefer to have few games I actually play. If I don't know the game, I actually look for reviews, gameplay videos and then decide if I want it...

I think the same as jonridan.

I grab all game freebies, regardless of what they are. Downloading and installing is a different matter.
My policy is to worry about them at a later date, if I feel motivated to do so.
As someone else said, and in my experience, our tastes can change or grow over the years, and it is not always about me, as someone else in my family might appreciate it.

In any case I buy games that I know I should like and games that I probably or possibly might. And I fully accept I will never get to play all of them, partly due to my age, and other things that need doing in my life, but because new games are always being released, and many of them will always appeal to me. So I have no expectation of playing all the free ones I acquire either.

What I play is based on mood etc, and some games suit moods I am rarely in.

Still, one never knows what the future might bring.

I look back at most of the music I heard in the 60s and 70s, much of which I endured and thought was pretty crappy etc at the time. Now I find I like quite a lot of it, even love some that maybe I hated previously. As we age we tend to grow, especially in understanding, due to experiences and new ways of relating etc.

If it is free, I take it. Simple as that.

I grab them and if I'm totally uninterested I'll just hide them. That will allow me to easily filter them out in future searches on GOG, considering I now own them.

I don't claim games on giveaway if I don't think I'd ever play them. I've completed 2 games on giveaway so far. That's not a lot out of the total claimed, but most of my collection is unplayed for now, so it's not out of the ordinary.

I think your method is smart, so I'll take it myself. lol.
Goodbye for a while, BEAUTIFUL DESOLATION, Crime Cities, Genesis Alpha One, and so on...

Yes, I take them all.
It's not like anyone is going to be left out if I take something that is available in limitless quantities.

Having said that, I have sometimes wondered about Epic, what's the point.
I have never even installed their client, but I have hundreds of games there. Still, it at least gives me options in the future, if I ever feel the need to have them. I actually like to have thousands of games, even if I don't play them.
It gives me something to choose from, even if I don't use that choice (see the comment about Epic above).

I try to use my money where it matters, so usually I am voting with my wallet to buy adventure games, which is my favourite genre. If the game is, let's say, less than one dollar/euro, I can buy it regardless of genre. Much more than that, I usually spend it on adventure games.

So getting some more valuable freebies from other genres is a good way to get some games that I might not otherwise be that interested in buying.

Yep, never say no to a gifted game. I can still ignore it if I want to.

And of course sometimes it's something someone close to me might enjoy who hasn't a separated GOG account.

edit:copy/paste seems to have been stuck

"better to have it and not "need" it, than to "need" it and not have it"

With that said (tongue in cheek), I take most but not all of the freebies.
Certain games (or genres) simply don't appeal to me. And that won't change in the future.
So, no - I don't always take freebies - on some, I pass.

I think I skipped a single game and missed one giveaway. Why did I not claim the game I did not? Because even if that was the only game I had, I still would not even take a look.

Nope. Skip way more than I accept. If I know I don't like a genre, doesn't make sense to get a game just to have it knowing I'll never play it. Plus it keeps the bloat of my library down.
Gog (and Epic) are quite generous with their giveaways despite so many complaints about not AAA or repeat giveaways. They generally have something for everyone multiple times a year but some people still want everything all the time and make themselves unhappy when they can just be happy during the times the giveaways cater to their likes. You know, glass half full mentality if they so choose.

I'm curious about whether Gog pays something to the publisher for the freebies.

About a quarter of my paid-for library hasn't been played yet, and so far I haven't seen a freebie that I've wanted enough to claim. OTOH, I take an anti-implied-consent-to-spam stance like others on this forum take an anti-DRM stance - if I saw a freebie that I really wanted, I'd claim it by emailing GOG's GDPR address and complaining about the lack of a not-preticked tickbox for the marketing consent, and then I'd be prepared to take it to the consumer protection ombudsman. I value the rules against preticked tickboxes more than the freebie itself.