Now that's just BS, sorry. Not a single person who was on the fence of doing something against climate change will go "oh well but I didn't like the method of those protesters, now I won't do it".
The people who are constantly looking for excuses to do literally nothing are lost to climate action anyway. Every meaningful progress will have to be won against those people, not with them. If even slight inconveniences are too much to ask from them sure, they will shout and cry how this protest is the reason, but let's be honest: They were never going to be a part of the solution anyway.