I wondow what information these annoying .c2paws files contain, and how we could access it?

They are to do with Content Credentials and you can read about them here.
I am pretty sure this is the default state, as I don't remember enabling them.

However, the .c2paws is a separate file, and if the image is not one of yours, you are unlikely to have it. There's a CDontent Credentials panel (only in the beta version) that has a Preview tab. Maybe worth checking out if you are using the beta version, and have .c2paws files to inspect. I've just turned mine off, because a) I don't care what has been done to my images, and b) the files annoy the heck out of me. OK, I've calmed down nopw... 😉