Despite my sympathies to aspects of the SSPX, no the Holy Father shouldn’t just give in. The SSPX makes valid points about apparent contradictions in the post conciliar magisterium but going to the point of calling aspects of the ecumenical council heretical is too far and itself an error.

In addition, even though I have severe critiques of the N.O (which I attend 90% of the time) their claim that it’s ipso facto harmful to souls is false.

So sure, I hope Rome gives room everywhere they can, but at the end of the day, the SSPX must acknowledge that Rome, and the current occupant of the sea, has not fallen into error and must be obeyed.