Even if the governments ban or advice against the use of such, if people see value in what the coin offers, they'd use it still. Besides, if the coin is anonymous already, why would one be scared to use it and be caught? Anyway, I don't see governments easing their stance against such coins since it can be a vehicle to launder money anonymously. They can't just knock on the doorsteps of developers and force them to relay information as it can't be done. They will allow certain cryptocurrencies only if they know that they have a way to see how transactions are going, and with privacy coins, they are completely denied of that spying ability.
Good point. Thanks to the decentralized and open source nature of crypto, anyone can still use and trade privacy coins even with government restrictions in place. It'll be quite a challenging task though, but not impossible. I believe that the minority of people will be using privacy coins like Monero and Grin, while the rest will use transparent cryptocurrencies like Bitcoin and Ethereum. Centralized exchanges may stop supporting privacy coins in their entirety, but DEXs and atomic swaps will become the norm in the decentralized world. People who truly value their privacy will resort to using these types of cryptocurrencies above traditional ones we know and love today.
While governments often claim that privacy coins are used for money laundering, we all know that's not largely the case today. Criminals still use Fiat for their illicit activities, mainly because it's stable and trusted worldwide. This should give privacy coins a certain level of legitimacy over traditional Fiat. The main reason why governments are against privacy coins is because they provide people with true freedom over their money. No one except you can know the origin and destination of your funds, how much money you have in your wallet, etc. By eliminating third-party intervention, you become the sole owner of your money. That's not what governments want since they want to stay relevant in the world's economy.
Eventually, privacy coins will end up being de-listed from every single centralized exchange as we know them. But that may not stop privacy coins from growing in widespread use if people use alternative means for trading. As long as there are people supporting privacy-oriented cryptocurrencies, their future will be a bright one. Ultimately, their fate will rely on the people themselves. Just my opinion