As you said bleached white flour has been a thing for a very long time, it is considered traditional, people generally don't include things that have been common for millennia when they think of "ultra-processed", I actually mentioned this in previous comments. The only other ingredients are vitamins/minerals, you definitely can get bread that isn't enriched, but again, very few people believe adding a couple common vitamins to basic food is "ultra-processing".

Also, depending on how into bread your bakery is, some do get unprocessed wheat corn and work it to the product they want, though I have only seen these in major cities, that can support boutique bakeries, that have Michelin stars . Most will offer non-white flour options that are significantly less processed, and multiple different levels of processing, for the various specific type of bread they are making.