steeldragons
Steeliest of the dragons
The problem was in two different modules characters needed to say jump across a cavern. In one module it called for a save verse petrification to do that and in another module it called for a save verse spells. I'm totally making up that example and I don't recall what modules this happened in but we did see it happen. But modules were not consistent in what was needed for these special actions.
In other instances there would be an action described by did not list specifically what type of save was needed. The DM then was the one trying to determine what made the best sense as it was not always clear.
To the first paragraph, again with respect, I will not enter into discussion over a "made up" example. I understand what you're saying, but maybe there was some mitigating factor in each particular module to warrant a different one? That said, early D&D was not known for it's consistency in published modules. hahaha. Just a trait of the animal to be accepted...or not.
In a game I'd run, regardless of what the module said, to "jump across a cavern" I would have ignored the module and asked for Dexterity+Strength checks...2d20, roll under yer Str & Dex combined. But that's me, my kinda game.
To your second paragraph, YES! That,again, was the DMs job. To adjudicate and create a fun yet challenging environment for the players to engage in. Really...not so hard! Again, if there was no presented "save", I'd chalk it up to an "ability check"...whatever the relevant ability was.
I dunno...doesn't seem to me to be so hard...but I'm not everyone. Nor, I will say to "toot" my own horn of blasting

--SD