What is the context of the post? Is the liked post about some J6er beating a Capital Hill staffer with a cane? Then, yeah, maybe they should be seen negatively.
Perhaps you should go back and reread your initial posts
"One may definitely want to know all the people that liked a given Hamas post, BLM, Antifa, etc. How else are you going to keep the potentially disruptive and disastrous people out of your company."
The BLM movement is more than just protests and some who vandalized buildings, which I should add much was caused by far right agitators just as with the recent student encampments, BLM is a movement about equity in policing. Say someone liked a post about equity in policing with a BLM hashtag, your subsequent post:
"The riots, vandalism, etc was definitely under the BLM flag in terms of optics..."
Would have one classify the post that I described as the same as rioting and vandalism, yet you can't seem to grasp the nuance here yet you somehow can if someone were to like a trump post unrelated to Jan 6. By your logic laid out, many people view the optics of trump's rhetoric through the lens of the violence that he induced on Jan 6.
I should also not that I am not a proponent of lumping things together like this, I am simply using the logic that you laid out and applying it to a similar situation.
You seem to be able to apply a nuanced view to only one side and not the other. I wonder why that might be?
Someone supporting equity in policing via the BLM movement is not the same as someone advocating for violent protest and rioting just as someone supporting trump is not necessarily supporting the violent takeover of a capital building.