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Cladistics is, by its inclusion of the quantifiers “all” and “some”, a branch of discrete mathematics (in this case set theory). It means that its assertion that there is a single true tree of life is wrong, since a single thing in discrete mathematics (set theory) is not a thing, but the product of the empty set. The cladistic assertion that there is a single true tree of life is thus a contradiction (ie, the empty set).
This fact means that the notion of “clades” is a hallucination. There simply aren’t such things (ie, clades). This statement does not mean that there aren’t single instances of such things (ie, clades), but that there aren’t such things (ie, clades) s in a general sense, ie, that reality can’t be consistently partitioned into only such things (ie, clades). The class is simply inconsistent, actually paradoxically contradictory.
It is indeed simpler to be a cladist than to explain how cladistics is wrong, but if we accept cladistics, then we instead have to deny science together with mathematics. It is the way out of science into belief (where mathematics is blaha blaha). Cladistics is thus the route back into where we were before we started to conceptualize reality, but without any possibility to return to this point, because the absense of concepts is impossible to model with concepts.
Cladistics is thus actually a dive into the notion that classes are real, which was falsified by Bertrand Russell in 1901. Adherents of this notion (ie, cladists) are thus as wrong as we possibly can be.