No, it gets news coverage that makes TRA's looked unhinged, aggressive and unreasonable.....and ultimately gets people to come to a conclusion that women have a point in wanting to retain single sex spaces given the poor standards of behaviour of those advocating for them open to men.
Frankly as distressing being on the receiving end of such protests can be, they don't detract from the GC cause, they amplify it - significantly.
The whole "vulnerability" narrative loses all gravitas in the face of screaming, masked, aggressive activists with signs threatening to kill/hurt women and people are watching and listening.
You might not be willing to read the room, but there is a fair to middling chance I'd say that despite the total incompetence of the Tory administration, that the Labour Party will lose the next GE precisely because they refuse to distance themselves from an ideology that increasingly more and more people are becoming aware of and think is utter self indulgent wankary.