Care explain what do you mean with the above?
As far as I know, "TRNC" is neither de jure, nor de facto recognised by any international organisation. UN in its resolutions considers it as a non-existing entity, the EU the same, as well as the Council of Europe and the ECtHR in all the cases they have tried regarding Cyprus. They all regard the areas of Cyprus outside the de facto control of the RoC, as areas under the control of the Turkish military and Turkey.
And what do you mean by: "precisely on a massive asymmetry and inequality under international law?" Do you mean that the "TRNC" should be de jure recognised, so that this "massive asymmetry" ceases to exist? I hope this is not what you imply, but somewhat I have a feeling this is precisely what you are saying!
In reverse order :
1. No I was not saying there that TRNC should be recognised, I was just pointing out that in practice, de facto, there are lots of ways in which TRNC is acknowledged and recognised. Lots of state and international organisations effectively say, 'yes we know you're an illegal entity but actually we're still engaged in commercial, cultural, political relations with you' and that includes RoC. It is a form of turning a 'blind eye', sometimes because it is pragmatic and beneficial to the third party and other times because third parties are trying to if not 'normalise' relations with the TRNC then trying to provide a foundation upon which negotiations can take place. Thus for example, allowing cross-Green Line traffic does not confer de jure recognition on the TRNC but it does acknowledge the reality that the TRNC has effective control over a territory.
The reference to assymetry and inequality again was just an ironic observation that since TRNC is not recognised at all (exception Turkey and Azerbaijan) then it has next to zero legal standing, but substantial enough de facto recognition to make the place viable (yes even with support/subsidy from Turkey etc).
2. I agree, TRNC is not recognised de jure by EU, UN etc. But these states and organisations cannot deny that TRNC is actually there in effective control of a territory (even if you think this is colonial artefact of Turkey) and so they contrive ways of practical support to TRNC, for example, UNDP, UNESCO, and even the UK in the case Oram case (not recognising TRNC in UK courts, but concretely addressing civil material within TRNC claimed jurisdiction). People might think that these are games and fictions but they're very real and significant games and fictions. (There are similar examples from other parts of the world one could point to, this ruses are certainly not restricted to Cyprus).
3. 'two wrongs don't make a right' - at an intuitive moral level of course I agree with this sentiment, but we're not dealing with intuitive moral feelings, we're dealing with national and international law. There is nothing in principle stopping you as, say, Australia agreeing with me as, say, Bolivia, agreeing to allow Bolivians to be tried in Australian courts but not for Australians to be tried in Bolivian courts. That would be the result of negotiated agreement confirmed in our respective legislatures, but one which treats Australians and Bolivians differently and unequally. In fact connected to this assymetry there is a lot of 'jurisdiction tourism' : if you're gone be done for some crime or civil wrong, especially in financial and property crime, it can be worth your while being tried in country X and not country Y.
Why is TRNC the country of choice for alleged criminals escaping national prosecution ? If TRNC were recognised, these criminals would have one less place to hide in. The absymal treatment of women in TRNC 'nightclubs' continues not because TRNC citizens don't give a damn but in large part because the non-recognition of TRNC allows a legal blackhole for criminals and their crimes to jump into. Similarities with Guantanamo are not beyond consideration. (Of course I think there's a lot more to this last bit than I've mentioned, but I do think this paradox is at the heart of the problem).