And Bitcoin did not suffer inflation at all to have had a worse inflation that fiat currencies, it's a deflationary asset.
Partially i sensed it to be without fiat one would not be able to purchase bitcoin at the first place, being that for a trade to occur you must first make a deposit of fiat then possibly convert or trade to usdt before buying bitcoin. This is what i senses by op saying fiat bound, actually when dealing with bitcoin and fiat they both has interrelationship whereby to spend your bitcoin need a fiat and maybe, might be the same to stores that accepts bitcoin but in real life we must need to sell to fiat before finally spending it. However, Op should try to making his post a bit comprehensible for better interaction.