I think thereâs a way they can be inferred, after all, even when one can not confirm rebirth for themselves.
Experiencing requires experience, right? This naturally entails a modicum of change and instability, like what anicca implies.
Can experiencing experience the end of experiencing? Sounds like a contradiction.
So perhaps itâs kind of like Xenoâs arrow, never quite hitting the target, always fractally dividing.
And as for why then this experiencing canât be called eternal, then perhaps thereâs an insight to seeing it as non-experiencingâŠ
Bhikkhus, I say that the end of the world cannot be known, seen, or reached by travelling. Yet, bhikkhus, I also say that without reaching the end of the world there is no making an end to suffering. SN 35.116
Well, perhaps all the insight and caution in the suttas against conceptualisation, proliferation, might in a sense agree with you. 
Not necessarily because Buddhism or Indian thought is fundamentally incompatible with Western philosophy (I would actually think many concepts can be ported over back and forth and used wisely and carefully); but perhaps the nature of Dharma (not in the sense of teaching, but the upholding of the reality) is beyond having an easy one-on-one correspondence with what any words or sentences might entail.
When all Dharma have been struck down altogether;
Likewise all manner of speech are altogether struck down too. SNP5.7
I believe Ajahn Geoff argues as much his âNot-self revisitedâ:
The need ultimately to go beyond words and discernment comes from the fact that they are made of perceptions and thought-fabrications, which are aggregates coming under the term ânameâ in âname-and-form.â
As with all aggregates, even the statements of right view, after they have done their work, have to be abandoned for the mind to gain release.
But more than that: A perception may be true as far as it goes, but there are limitations to how far it can go, and as DN 15 indicates, thereâs a need to see those limitations.
In one passage, the Buddha goes to the extent of identifying only one thing as really true: unbinding.
"See the world, together with its devas,
supposing not-self to be self.
Entrenched in name-and-form,
they suppose that âThis is true.â
In whatever terms they suppose it,
it turns into something other than that,
and thatâs whatâs false about it:
Changing,
itâs deceptive by nature.
Undeceptive by nature
is unbinding:
That the noble ones know
as true.
They, through breaking through
to the truth,
hunger-free,
are totally unbound.â (Snp 3.12)
Now compare this to the opening lines of Dao de Jing
éćŻéïŒéćžžé
ććŻćïŒéćžžć
The channel that can be channeled is not the constant channel.
The name that can be named is not the constant name.
And compare it to Plato:
âNo intelligent man will ever venture to commit to it the concepts of his reason, especially when they are unalterableâas is the case with what is formulated in language.â
And then Gorgias of Lentoni:
âEven if anything exists, it cannot be known; and even if it could be known, it could not be communicated to others.â