I would like to point out that you can connect the PS5 controller to the Switch. However, I had to update the stick briefly to the new version. Apparently it has problems since the new PS5 controller update. Here is the Reddit link where the manufacturer offers an official statement and the valid beta update for it. Should be solved soon with a real update: https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.reddit.com/r/8bitdo/comments/11otw9k/both_my_ps5_controllers_not_connecting_to_switch/&ved=2ahUKEwjz37yr4_v-AhWHO-wKHfAVCQEQjjh6BAgMEAE&usg=AOvVaw31Y0N9iKfa_tyWdYL08ezK