[RPG] How do Resurrection spells work with someone who has died of old age

Yes, cloning, repeatedly, maintained, could make you immortal.

There's some logistical concerns that make this trickier than the spell itself:

Vessel must be undisturbed

So, ideally, you set up a nice young version of yourself, hide it away for the time something goes wrong and go about your life, right? Well, the longer it's around, the more likely, over time, something COULD happen to it. Especially in a world where you've got things like purple worms, umber hulks and bulettes and other critters that dig through granite like butter.

Well, then it makes sense to set up some defensive measures, right? Traps, spells, etc. But in the world of D&D, the more defensive measures you put up, the more people assume it's got something valuable to steal...

Now, as a GM I wouldn't just automatically assume something is going to happen, but if the clone is sitting around for decades, or the wizard in question has enemies seeking them out, then we'd start having to think about problems.

A giant diamond

So, the diamond is worth 1,000 gp. This doesn't mean you can simply pull out 1,000 gp and find these diamonds anywhere, everywhere. There's got to be a limited number of them. You're probably not the only caster who is looking into this spell.

So, a bunch of wizards want immortality from a limited resource and are all looking for it.

I'm sure that's not going to lead to problems.

Welcome to the Immortal Club

So, if you manage to live far beyond even what most D&D world folks know people to be capable of, and you're known to be an awesome wizard... how many other people are going to be trying to get your secret of immortality from you?

How do other things which are immortal feel about this? Do they find a way to manipulate/play you because you're new to this game? Do they already have a control on the 1,000 gp diamonds and dole them out to the few wizards who have Clone just to keep them under their leash?

Is there an alliance of lichs who are jealous you've found a way to live, but actually live, not undead live, and they'd like to simply stomp you down for being audacious?

Are there mind flayers looking to eat the juicy mind of a super-intelligent wizard with 800 years of tasty-tasty knowledge?

Are there divine guardians of life and death who did their accounting and finding there's a soul short that needs to move on?

Gameplay

Unless you're playing a very unusual game of D&D, these issues aren't likely to come up too much simply because the timescale is too short. But it makes excellent source of adventures based on NPCs - just imagine what happens when you do have a wizard who has been doing this and dealing with all of these problems and what that means for the PCs when they get involved in it.

Yes.

As you rightly say, those spells contain no such restriction on bringing back a creature who has died of old age.

In the case of Raise Dead, the creature retains their original body and their original age. Therefore they are at risk of dying of old age again in the near future. The exact methods of determining how and when a creature dies of old age are up to the DM.

In the case of Reincarnate, the creature has a fresh body created for them which is "adult". They are not in danger of dying from old age again in the near future.