Parents hate cross ice hockey. It’s not a “real game”. The kids don’t follow the rules ( no icing, no off sides ) etc. etc. Guess what, parents are not very smart. Every good coach I know is a cross ice fan ( I know that list does not necessarily include your sons current full ice coach).
You know what happens in cross ice hockey? Kids touch the puck ( a lot), kids score goals. kids have fun.
Here’s a great read from Ferris State Coach Bob Daniels on Cross Ice Hockey
PS- If you are not a cross ice fan, just imagine having a conversation with another parent about your current field of expertise ( accounting, law, medicine, manufacturing) and that parent acting like they knew all about your field. Guess what, that’s what you sound like when you talk to a real hockey coach about hockey. Watching your local pro team does not make you a hockey expert any more than shopping at CVS makes you an expert on medicine.