Old ammo has also blown up some rifles. It's not very common, but it happens. Everything hinges on how it was stored and how far deterioration has advanced.
Powders sold for reloading, especially in the past, have often contained all or some portion that is surplus. Surplus powders are often old enough that deterioration begins sooner than it would for newly purchased bulk powders fresh from the powder plant. Norma says they guarantee ten year life for their powders. I've got a good number that are rather older than that and that are still fine, but I've had a couple deteriorate badly in that time. The British military puts a 20-year limit on stockpiling ammunition loaded with double-base powders, and a 45-year limit on single-base powders. The U.S. relies on testing, but 20 years is a commonly mentioned period.
The biggest risk is deterioration which breaks down deterrents faster than the nitrocelluose and nitroglycerin in the powder, and that causes the burn rate to speed up. The U.S. Navy studied this by aging M80 Ball cartridges artificially in high temperature and finding pressure had increased by something like 50%. IIRC, it was something like 140°F for 18 months. Unfortunately, someone who keeps their old ammo in an attic or garage in the summer months can accumulate that sort of deterioration.
I would not shoot reloads I wasn't present at the making of. Some old load data is quite hot by modern standards and can be unsafe in some gun models that don't match the model it was developed in.
So, pulling the bullets and applying fresh charges of powder makes good sense. If all the commercial loads are identical to each other and all the handloads are identical to each other, you can pull the bullets and check the powder condition and measure the average charge weight and recharge them at that same weight if the powder still looks and smells good and has no red dust or clumpy oiliness associated with its appearance. Try one with 10% less powder, just to make sure the burn rate is still reasonable. If you have a chronograph, that is a good check to be sure you don't get some unusually high velocity for the cartridge and bullet weight out of that 10% reduced charge.