Only a Hierarch who wants to become EP will even bother applying for Turkish Citizenship. This development is more political than religious so I won't continue further.
only the Turkish members of the Holy Synod were allowed to vote.
Normally, it is the responsibility of bishops to participate in the selection of the presiding hierach. For some time, that hasn't been possible for all, or even the majority, of bishops who were technically in the Synod of Constantinople, leaving the selection of the Patriarch to a small and shrinking group, many of whom were not even actual diocesan bishops. This has done a lot to contribute to the perception of many of the modern Phanar as an isolated, almost incestuous, clique with little organic relationship to the bishops (much less the parishes) under him.
I think every EP bishop who doesn't have a specific reason not to (e.g., the Cretan bishop's concerns, or that just because Turkey will allow dual citizenship to the hierarchs doesn't mean the hierarch's current nationality would agree), should take advantage of this in order to best fulfill their responsibilities to their synod.