I would not gonby such logic.
“Clasical” logic is an early 20th century/late 19th cemtury expansion amd revision of aristotealian logic, evennat the time it was invented there where many who rejected it in favour of constructivist and intuitionist alternatives.
There is no law of excluded middle in intuitionist logic.
The logical structure of the tetralemma is fraught of we get caught in Aristotelian concepts of logic.
arguments of the form
A is B
A is C
A is both B and C
A is niether B or C
Isnt in itself logically problematic, nor is
A has property B
A has property C
A has property B and property C
A has niether property B or properrty C
The issue is if we take B and C to be contradictory
So
A is physical
A is non-physical
A is both physical and non-physical
A is niether physical nor non-physical
(One of the standard examples in the ebts)
Is not problematic even in Aristotelian logic, unless we assume that something cant be both physical and non physical at the same time, but of course this is precisely what substance dualists do believe, and no one accuses them of a simple logical error.
So in the above example, A is jiva or “life” or “ones life” and again, the argument that ones life is not the same, nor different, nor both nor niether as the physical body is NOT said to be because there was no jiva to behin with.
It is almost always instead argued that if jiva = body then we are annihilated, if jiva = mind then we are eternal (and therefore eternally suffering)
If both, then we eternally suffer.mentally the annihilation of infinite physical bodies, and if the life or jiva is soelmething independent of body and mind then we are victims of its pernicious effects on our bodies and or minds.
Instead the buddha says, to give just one possible example out of many alternatives:
The jiva depends on fuel
Fuel can be abandoned
With the complete cessation of fuel there is a complete cessation of jiva
There is a way to abandon fuel
The upshot is that independent of metaphysical questions like the reality or existence of terms or things there is a relationship within experience that can be knowledgeably exploited to elimimate phenomena considered to be ultimately unsatisfactory.
The stratagy of avoiding the complexity and subtlety of the undeclared by recourse to making the initial subject a fiction fails in almost every case, and makes a major part of the ebts into an excersize in willful obscurantism amd incoherence with the only plausible motivation of making anatta somehow more fundamental than the undeclared points, which is clearly not something in evidence in the ebts, as i say, apart from some quite deviant parts of SN, that show clear divergence from thier counterparts in SA.