If they force people to use electronic money and somehow remove cash completely it's going to increase Bitcoin adoption.
That's most likely not going to happen for some reason physical money is somehow useful and not everyone is nerd tech to join the squad of cashless society.
If not, I just don't see it happening. The only way people start using Bitcoin is if other ways of paying become more risky or less convenient.
You know what, there's a lot of options to choose why people would choose to use Bitcoin instead of fiat. Besides, Bitcoin itself is risky in terms of investment or trading because of its unstable volatility that's why people preferred a stable one or just simply use the fiat.
Physical money is useful but it's not why governments want to get rid of it.
Cash is not printed for free. It costs money to make money and it costs money to move money around in bags, hold it in storage, build vaults for it.
Cash is hard to trace. It's much easier to trace and seize money if it's held on your account.
It's convenient for the governments to persuade people to use cards or centralized cryptocurrencies.