If anyone has that kind of thought then am sorry to announce to them that they will end up being disappointed, ethereum merge to the beacon chain does not have any direct connection with Bitcoin and as far as I know, only ethereum is moving to the proof of stake system and that will still be subject to public testing period, certainly, there is going to be some setbacks with this development but to say it going to reduce bitcoin transaction fees is out of the question and what this migration is intended at.