How to decide what kind of controller one should purchase? - lemm.ee

I have a question(s) regarding the various types of game controllers. I need a wireless controller which supports PC (Steam Linux mainly and maybe Windows someday). While searching online, I see various types 1. xbox/ps5/switch controllers : These are for their respective consoles 2. Mobile/PC controllers : These usually connect via wire/bluetooth/2.4 GHz Source: https://www.gamesir.hk [https://www.gamesir.hk] However, I see in the product specifications page of the console controllers that they also support PC. And the PC controllers sometimes support some of the consoles. The only real difference between controllers, from a technology perspective, is that is some of them support bluetooth/2.4 GHz. So I have two questions: 1. If they are already cross-compatible, why even bother having different types? 2. How should I decide which type of controller I should buy? It should support PC, console-support is not essential. Note: I am a novice in game controllers but aware of different network stacks.