Exploitation of those rights is down to individuals, only since Google came on the scene has any company been able to get away with broad ranging infringement of these rights without censure.
As for your cheque, you have the right to sell your work. No-one is obliged to buy it, of course. You also, under copyright, have the right to make a license to exchange use of your works for binding the users to conditions of release of their derivative/associated works ([F]OSS licensing).
You still have the right to sell it, and if ML models have been trained on those works you have the right to seek compensation.
You might say that the fact LLMs are being provided as services by big techs invalidate that. But some people taking the provided knowledge for themselves has also always happened. More importantly, though, is that big tech provided LLMs aren't the only way to access the technology. Open weights and local models exist.