Nope.
The SSPX might be in unclear water but they certainly aren’t excommunicated, nor are they “basically Protestants”, nor are they fully schismatic. They are unregulated, their priests lack faculties, they do not preach a heretical dogma or doctrine. Their mere offence is coming to terms with the Second Vatican Council which they believe is the reason so many Catholics are now “catholic” in name only, and why the Mass has been subject to so much liturgical abuse (they believe the entire Vernacular form of the Mass is an abuse).
SSPX recognises the authority of the Pope. I’m not an expert, an apologist, nor am I a supporter or an enemy of the SSPX. However recently, I have been more inclined to give them the benefit of the doubt.
The Church is the undivided Mystical Body of Christ. The substance of it is undivided, however, the form of it appears to be. We are one Church, but like a tree, it’s limbs can only grow so far but it’s height is unlimited. The Church is one, but the humans within it are many. Humanity is prone to disagreement, some philosophers would argue that war is our natural state, but nevertheless it is the Church which brings us together.
The four marks of the Church are one, holy, catholic, and apostolic. There’s no room for a separate entity inside that of which can only exist as
one entity. Like many have re-iterated: there are individuals, thousands of them, which disagree with the Church’s teaching on a multitude of things, yet continue to call themselves Catholics. They aren’t Catholic. They have excluded themselves from the unity that is Christ. They have consciously denied the grace that has been given them, and can no longer be called Catholics. They’re moral relativists, and it is our job to pray for them and to evangelise.