In any protest, there are 3 groups of people. The people who are there, The people who being protested against , and outsiders who are looking from the outside.
The parade was not seen as being sympathetic from the outside , as it was not seen as an appropriate place for this parade, however the murder of Shira Barki, changed that narrative. Unfortunatly the murderer should have been in jail and was released, he looked charedi and acted like Pinchos. It changed the whole narrative.
Protesting the parade yelling Toeiva, toeiva at the participants might give chizuk to those protesting, however it will be videotaped and posted on youtube and people who really have no opinion will not get a positive vibe from that side. Even if they were opposed to the parade. Many opposed to the parade, felt differntly after the murder of Shira and do feel different when people call other toeiva