I think it would be cool if adventures featuring religion were published. Stuff like getting hired to recover an artifact by one faction of a church in order to one-up another faction of the same church. Or to make the local priest look really good so that he can get a promotion to bishop. In a world with real gods, it seems that there should be a lot of this stuff going on. But most published adventures avoid this like the plague.
I understand part of it is to try and avoid the "satan worshiper" crap, but most of that has died out nowadays. And seriously, if White Wolf wasn't affected by it, I doubt an OSR publisher would be.
Anyways, I think it would be a cool idea. If there is a sacred scroll known to be in some ruins infested with monsters, I'm sure the local priest would love to have it recovered. And he would also take the credit for the recovery, at least with his fellow priests. It's an easy way to add politics into a game, as well. If the party cleric recovers the scroll, he might use it to gain influence with his higher-ups, trading it for more recognition and maybe a magical reward of some type.