Home made pickled peppers without sodium - botulism risk?
As Lorel C mentioned in the comments, botulinum clostridium won't grow in acidic environments. It also won't grow in cold environments. You've got the peppers in vinegar and in the refrigerator. I think you're good.

Even with the peppers being fairly warm when refrigerated— it's always a good idea to let things cool in the open air before putting them into sealed containers in the refrigerator because even under refrigeration they'll take much longer to cool in a sealed container— adding a bunch of acid and storing the jar in the refrigerator reduces the risk to pretty much nothing.

You primarily have to worry about botulism when you've got things in an anaerobic environment (e.g. covered in oil, or honey, or vacuum sealed, or in a package filled with some other sort of gas, or packed into sausage casings) between 3C/37F and 50C/122F, with a PH above 4.6. Garlic and onions are more likely to have spores on them because the spores are very common in the soil of many places where garlic and onions are grown.

In the famous case where a man was poisoned with botulism toxin when eating a home-pickled egg, they determined the source of contamination was a toothpick which he used to poke a hole in the eggs— a commonly-used (and likely ineffective) method to get the brine to penetrate pickled eggs more thoroughly. The spores entered the egg via the toothpick, the hole in the egg was an anaerobic environment suitable for the bacteria to grow, and he stored them at room temperature. Had he simply stored them in the refrigerator, the spores would have remained dormant, he could have eaten his tasty eggs, and he would have been alive to tell us how tasty they were.

If you want to nerd out on this for a hot second, here is an article that discusses bacterial growth as it relates to food production and storage.