the "Woke Left" likes to play word games and label stuff?
There you go again. No part of what you call the "Woke Left" calls itself "the Woke Left" (most don't even use the term "Left"). It is *you* (and the people you read, I'm not claiming your label obsession in self-generated) who keep insisting on applying political labels like "Woke" to stuff just before you attack it.
As for "Felon", a felon is a person who has been convicted of a felony. Trump *is* a felon. Trump is also a father, a billionaire, a rapist, a tax cheat, a politician, etc. Any one of those can be used against him politically.
Given the aberrant nature of Trump's criminal status (including having other, even more serious crimes facing him), they would be foolish not remind the American voters how aberrant he is. It is part of the story and his disregard for the rule of law, just as his authoritarianism is.
If you really feel this way, perhaps, you could spend less time trying to define things to what you want to define them to in the post-modern style.