I agree with you on this.
I was under the impression that Buddhist bhikkhus would be aware of the specific meaning of samaṇa and therefore be uncomfortable with its association with the practice of austerities.
However, as you correctly pointed out, bhikkhus can describe themselves any way they wish, and it’s not up to my interpretation of words. I stand corrected on this.
However, I did say my focus was on whether the Buddha would have considered himself a samaṇa, given he was formerly one and then chose to reject it (specifically, the austerity practice). My concern is not about current practitioners and what they wish to call themselves.
I would also agree with you on this. To quote from SN56.11:
“Dveme, bhikkhave, antā pabbajitena na sevitabbā. Katame dve? Yo cāyaṁ kāmesu kāmasukhallikānuyogo hīno gammo pothujjaniko anariyo anatthasaṁhito, yo cāyaṁ attakilamathānuyogo dukkho anariyo anatthasaṁhito. Ete kho, bhikkhave, ubho ante anupagamma majjhimā paṭipadā tathāgatena abhisambuddhā cakkhukaraṇī ñāṇakaraṇī upasamāya abhiññāya sambodhāya nibbānāya saṁvattati.
From this, it is clear the Buddha was talking about the rejection of two extremes, and indulgence in self-mortification (cāyaṁ attakilamathānuyogo) is cited as an example of one extreme.
These two extremes represent the worldly life, which is full of sensual indulgence, and the ascetic life focused on practising austerities.
In my own path, one of my focus is trying to understand and discover more of what this middle path entails. If you have more links on this, I would appreciate it.