Besavior P5 Mate USB Adapter for PS5/PS5 Slim/PS5 Pro, PS5 Gaming Converter for Xbox/PS4 Controller&XIM Matrix & Apex, ReaSnow S1, Supports Multiple Controllers/Peripherals/Headsets/Microphones

This is only working solution, that doesn't need internet connection and has little to no lag. Unfortunately this is not a magic bullet to solve your issues. This is only one half of it. You'll still need mouse and keyboard adapter. As far as I can tell it works with pretty much any M & K adapters, I personally use old xim apex (PS4). In addition to third party adapter you'll need Sony licensed controller, works with PS4 and PS5 controller. Based on how fancy your mouse and keyboard are you may need additional usb hub with independent power source. Be warned mice with more than 5 buttons are pointless since additional buttons are not recognised. So har I played Frontiers of Pandora (PS5), No man's sky (PS5), Metro exodus (PS5), Battlefield 1 (PS4), GR Breakpoint and Red Dead Redemption 2 (PS4) with no issues. Not as sharp as on PC though close enough.

Works great with the Titan 2, no need for an extra controller to be plugged in which is a plus. Not that it matters to me as I have a wireless Bluetooth headset but the audio jack is a little fuzzy, but it works, this will hopefully improve with an update. Updating also takes a bit of getting used to. Overall, great product! Would recommend