To put it simple: with increase in bitcoin price the value of gas fee rises.
It is only true if fee size is the same.
No, it's not true in any case!
The fees depend only on network congestion. We have been at the same price levels 6 months ago and the fees were in the 1-2 satoshi per byte range, now it's 20x times more.
I knew but perhaps I did not write it comprehensively enough.
I implied that if fee size is the same, fee rate is the same, transaction fee will have a positive correlation with Bitcoin price.
Even if OP is talking about CEX fees, there is no longer a thing of size since no exchange is charging by the size a withdrawal.
Centralized exchanges are always late to adjust their withdrawal fees on users because they earn from it. A longer they delay to adjust their withdrawal fee to lower value in
BTC, a more earning they will get from users.
Old story. Exchanges get profits from users' withdrawal fees.Also, there is no "gas" in Bitcoin!
I know, who call it as gas actually comes from altcoins. Knowing about altcoins and using altcoins before Bitcoin.