Fees are denominated in satoshis though, and even today the average USD amount of fees is around $8,000 per block[1] (around 6% of the total reward). A 10x increase of the BTC price will make that amount around the same as the current total reward.
Fees may be denominated in satoshis but unlike the block reward they are not fixed. Users choose their fees at every transaction, and they will not pay more than the value they derive from making transactions. The total value of all fees paid is determined by the actual usage of the network, not the Bitcoin price.
Of course today usage of the network is somewhat correlated with price, but it's not directly proportional and the correlation will weaken in the future.
Fees are denominated in satoshis though, and even today the average USD amount of fees is around $8,000 per block[1] (around 6% of the total reward). A 10x increase of the BTC price will make that amount around the same as the current total reward.
[1] https://fork.lol/reward/fees
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