I presume "quicksave" here means "save anywhere"? I generally don't use quicksave at least if it uses only one gameslot (save just before dying, duh!), but save-anywhere by manually saving the game. That's good enough for me, as long as I am able to save at any time.
I'm fine with checkpoint systems as well, as long as they are placed sanely, e.g. always a checkpoint right before a hard part of a game so that I don't have to replay 10 minutes of easy boring parts, just to reach the hard part where I keep dying over and over again.
Then again, depending on the game, I might still want save-anywhere just so that I can easily experiment and try out stupid things in the game. That was why I much preferred the PC version of the original 1996 Tomb Raider (save anywhere) to the Playstation version (checkpoint save system). In the PC version, I could freely try dangerous jumps and stuff which I was not sure would be successful, ie. can I really reach that other ledge from this point. With the Playstation version, I wouldn't want to try things like that as they could mean having to replay big parts of the game again. So I'd try to play the Playstation version in a safer and more boring manner, never experimenting any difficult and dangerous stuff.
I admit that in e.g. mission based space combat sims and flight sims save-anywhere would probably feel wrong though, not sure why. As long as the missions are not too long.