Agree that there is not exact centre to the universe, not that can be identified anyway. Therefore there will not be any black hole there, but if there were it would not be caused by the physics of the universe maybe by coincidence.
The nature of all matter is the attraction it has to other matter. Gravity.
Just as stars form by matter, repeatedly attracting more and more matter, eventually the mutual gravitational of that matter causes the star to emit various forms of radiation. Not least, (for our purposes) light.
A black hole is essentially the same, except it is a much denser point and therefore has a much greater gravity, both mutual and to other matter near by. The greater density results in a greater gravitational attraction such that even light which is emitted past the event horizon, cannot escape
Galaxies must have formed around something, which has enough gravity to attract the matter toward it in sufficient amounts to create stars. This is why it is supposed that all galaxies will have a black home at their centre. That is the nature of the universe.
A simplistic comparison might be to imagine the entire immensity of the universe is emptied of all matter except two particles of equal mass, positioned at opposite end of the universe. It doesn't seem to matter how far apart they are, they will attract each other and continue to do so.
Include other matter and each will create their own gravitational attraction, proportional to their mass.
I can sit at my desk for example and there is a gravitational attraction between me, the desk and everything around me. But that attraction is dwarfed by the gravitational attraction of the Earth.