Are PS+ free games region-locked?
Solution 1:
You do not require a region Y account to use your region X content in region Y.
You can continue to purchase and play on your region X account from region Y with no problems and as long as you maintain a valid payment method for region X. I know this because I am doing it and have been for many years.
If you want to purchase content that is specific for region Y you will have to create a region Y account in order to access the local store.
You will also need to be cautious with DLC, if you buy a physical copy of a game in region Y it may not be compatible with DLC downloaded from the region X store. The physical copy of the game will work with your region X account just fine.
So you may want to create a region Y account for the specific reasons above but you do not need to have one, all your existing content will still be accessible.
Solution 2:
You will continue having the games, being able to play them, but in order to get Y country new games, you will need a Y country account, not all the games are in the same countries.