Thing is that, his opinion of the Palaiologos notwithstanding, this 'charade', is still, quite useful for the Alexandros, now when it will let stop being so...
I think that would be worth to be noted that if Alexandros or even his successor would, if so wished, get enough either willing or paid ones supporters as for either that would open the gates for him and/or depose the current ruler of Constantinople.
But, again, it, at this instance, it would be more like a 'white elephant' that would bring him more troubles than advantages...
So, I'd risk to foresee that before that the Sicilian Basilei may take the ERE imperial mantle and will make their triumphal entry into Constantinople... Would be possible, that may be a war between the two rising E. Mediterranean/Balkans powers, i.e., the Sicilians Hellenes and the Ottomans...