Yes it does, I think.
In 0e-1e by RAW you died at 0 h.p. and even if using the die-at--3 or -10 variant it took forever to recover if someone saved you, Resting was also a very slow way of recovering hit points even if you survived.
In 4e-5e you're merely down at 0 h.p., not dead until-unless you fail a series of rolls thereafter; cures get you fully functional right away, and by next morning you're at full pop ready to go in any case.
Which (elves excepted) tells me either you're fairly lucky overall, or you had more lenient DMs, or you're just really good at keeping PCs alive, or some combination of these.