The satoshi amount will remain unchanged, 1 sat per byte. If we evaluate the fee amount in fiat (dollars) then yes 10x price implies 10x cost in fees in fiat. In BCH fee amount is same
Ohhhhhh ok that makes sense. So why wouldn’t the satoshi amount adjust with the rise in fiat prices though?
The transaction sizes are independent of the fiat price. The minimum fee you'd pay is ~226 sats - this would be the same if BCH rose to 10,000 tomorrow.