lol, no. It's a government organisation funded by Canadian taxpayers, whatever prospective immigrants pay for their immigration application procedures are a drop in the bucket.
They are free to make whatever decisions on where and when they accept immigrants, their mandate is set by the government elected by Canadians. Not anyone else. Sure, you can file your petitions and complaints, but you are allowed them based on Canadian laws and standards which afford you the applicant those rights. Nothing more. If tomorrow they changed them you wouldn't be able to do anything.
It's not a "claim", it's a statement of fact. I made no comment on the probability of them doing that. Did they have to pass a law to only accept CEC candidates? Nope.
It's not because you paid a thousand dollars that you are going to dictate and demand things. They can easily return your money and accept someone else.
You have a very entitled perspective. Ask all those people who got their applications cancelled because they implemented Express Entry where all their demands got them.
You're not in a position to dictate anything.