These differs on what terms people using for fees.
If people base the fees in usd value, of course, as btc price increase, fees in usd value increases. But the fraction of btc in terms of fees remains, especially if you're using a native segwit wallet.

Even the tx fee is only 0.00001 btc as long the value in usd increases, people will still complains. This 0.00001 btc is more or less 0.1 usd at the current rate, but if the value btc goes 20k again, it will become more or less 10 usd then more people will complain, but no one complains, when btc was 3k range, since 0.00001 is only dust that range to .001 usd