Well, you wake up one day and you find your own Church to be heterodox. What do you do? Jump ship and go to the orthodox one? Or do you try to fix the Church where you are in?
Although it isn't the primary point of discussion, I'd like to comment on converting-vs-not-converting. I can tell you that I made up my mind some years ago that if it turns out (somehow?) that I'm really Orthodox instead of Catholic, then I wouldn't leave Orthodoxy for Catholicism. But does that mean that, if I really am Catholic (which I'm almost completely sure that I am), I'm going to leave Catholicism for Orthodoxy? No, not necessarily.
This does not make sense. There is no opposition between Catholicity and Orthodox that would necessitate such a decision of one to the exclusion of the other. To be Orthodox is to be truly Catholic, in the original sense of being whole and complete. To put it another way, when I entered Orthodoxy I gave up many parts of my Roman Catholic life, but none of what is Catholic; only extraneous things that are of Rome but not of the Catholic (whole) Church. Perhaps you being a Melkite can understand the difference, in that there are those things unique to Rome that are (at least hypothetically, what with the call being made that you somehow return to your Orthodox roots) not shared by the Church as a whole.
On the other hand I have noticed, repeatedly in my years on this forum, Orthodox posters speaking as though my not-converting-to-Orthodoxy is just as bad as if I had started out Orthodox and then left it for Catholicism. Frankly, that doesn't make sense to me.
While I don't know on what basis you would have picked up this idea from people here, on a practical level, if the result is the same (i.e., you are outside of the Orthodox Church, which is the only
Church), then I could see how they might think that. I would think that your not-converting-to-Orthodoxy might be looked at as bad because the alternative you are living in strives to be Orthodox without actually being
Orthodox, which is self-evidently not ideal because it is quite impossible. After all, many outside of the Church (whether Roman Catholic or Eastern Catholic, or completely non-Christian for that matter) will profess a great deal of love and respect for it, and that's good...well, it is better than hate and disrespect...but love and respect is not union with the Church. Only baptism into the life of Christ through reception into His Church (the Orthodox Church) and reception of her sacraments is union with the Church. So in that way, again, yes, anything that is not conversion to Orthodoxy can be seen as equally bad on some level, because you cannot be 'half way in' by virtue of being "Eastern" (whatever that means), or having lots and lots of respect for Orthodoxy, or whatever else. You're in when/if you actually literally convert and join, and out when/if you don't.