The Bitcoin network is not the same as Ethereum or other networks that charge a gas fee for their transactions. Bitcoin charges are by SATs, which are called transaction fees and not gas fees. When fees are high, I think sometimes it's just a benefit to the miners, which makes them a little richer, but that doesn't in any way reduce investment profit. Although there might be a price decline because of the high fee to execute transactions, most people might not want to transact, and a few might want to sell out of panic.
Exactly the price of bitcoin does not in anyway increases the transaction fee. Only thing that does that is congestion on the mempool like we have seen in the last few weeks. Transaction fees are only high during halving or after it, because of the bull run and this means many investors would have met there profit limit and the massive withdrawal of funds then leads to congestion which in turn leads to higher transaction fee. Apart from that the transaction fee remains unaffected.