I can close my wallet, choose not to watch, and not buy any related merchandise. So I have that choice. I did the same thing in 2011 when DC Comics went full New 52. After decades as a customer, I haven't bought any new DC comics. Until DC fixes their continiuty, I'll spend my time with old comics. I will do the same thing with Trek.
Deciding not to watch has influence over your headcanon, but if there is some abstract notion of 'canon', canon will be the same whether or not you enjoy the show or choose to watch it.