I guess this all comes down to what you want. If you really want exclusivity then he doesn't sound right for you, he wouldn't dither if exclusivity was what he really wanted.

It's weird but just had an acquaintance irl go through something similar with a guy she thought she was going out with (also met through dating agency, also single dad) he suddenly told her they weren't going out only seeing each other (I have no idea what the difference is, seems like semantics to me). She was actually pretty emotionally invested in him and he was not.

I guess if your okay with that then that's fine. Idk I just get the gist you might be looking for more? In which case I'm sure there's someone more suitable for you out there who would jump at the chance to be exclusively yours.