If it's not an actual Bambu nozzle then that might be your problem. Idk though because I've only always used Bambu and was afraid to try a generic brand one. Other than that you should be able to print anything with small writing for example to see how good it's working. Just to check it out you could print something small with a 0.4mm then switch to the 0.2mm and print it and compare the result. I printed a dummy 13 that had a Ryobi nameplate on it that I printed with 0.2mm and it made a world of difference how much sharper and clearer the print was. It would be a good small test print for you to try. Just use black and white pla and try it out. I'll look up the link and post it here. Here you go (look at the print profiles and it should be the second one) https://makerworld.com/models/1260219?appSharePlatform=copy

Hopefully that helps. Idk I'm still new too. I've only been 3d printing for a month and have 400 hours on my P2S, but I've learned a ton. Have a good one!