There are still patriarchs in the catholic church, would be interesting if we could reinstate the patriarchs but have them vassalised to the Pope.
Sure, but the Pope is above all. That is the core of the Schism -- the Pope in Rome is not just 'First Among Equals', but the
highest authority. That was unacceptable to the Orthodox Churches, who felt any Patriarch was in essence equal, with the Ecumenical Patriarch just a little more equal than the rest. (And yes, that is extremely over-simplifying things.)
Had the Pope accepted a role like the Ecumenical Patriarch, would the Schism still have occurred? That is a nice question I don't think anyone can answer. Likely the Pope would never have accepted such a diminishing in rank.
Would there be Patriarchs still if the Catholics won? Hell yeah! Just look at the Fourth Crusade, the Ecumenical Patriarch was forced to flee with the Emperor, and in his place a
Latin Patriarch was installed. But these 'Latin Patriarchs' are not like the Patriarchs of the Eastern Rites, who head their own Church (but still
under the authority of the Pope), instead they are little more than glorified archbishops with a pretty title, and they are certainly not comparable to the Orthodox Patriarchs.
None of the Patriarchs within the Catholic Church ever held an equal rank to the Pope.