Yep.We always houseruled max HP at 1st level and even then death was common from wounds at low levels. The only real upside was that character creation only took a few minutes.
There's a real assumption in early D&D that you're playing quite often, so that low-level characters get plenty of opportunities to play. Eventually you get one that survives, and that one becomes famous and beloved.
I think combat is as frequent in oD&D and AD&D as in later editions; it's just that you pay a lot more attention to how difficult things are. Running away if it goes badly is more accepted as a tactic, and there are some encounters you avoid altogether. However, that doesn't take long and you're into the next combat quickly.
Once most of the party is a few levels higher (definitely by 5th), new 1st level characters gain XP a lot quicker, and so don't have to put up with low hp for as long. Sure, they're up against tougher monsters, but not that much tougher.
Cheers!
We always houseruled max HP at 1st level and even then death was common from wounds at low levels. The only real upside was that character creation only took a few minutes.