If the gas price is not reduce after starting ETH 2.0. People will seek for another blockchain.
I agree,, people will look for another affordable blockchain rather than eth for sending funds, however if people does that it will start to generate lesser fees due to less activity 
Besides, I doubt that the ETH v.20 isn't a real upgrade, Vitalik talks about it as faster ETH network so we will experience a low transaction fees. This cause the user of ether will decrease. One day ether will lose their user.
Ethereum has a brighter future to be adopted than bitcoin, due to smart contracts, it really is.