I agree with you. I think that in the hundreds of billions of galaxies in the visible universe, that the average number of planets with a fully developed intelligent species such as ours (yes, I know, we have muslims and democrats, but even still, I think we qualify) is 1 per galaxy.
That’s my guess.
With an estimated average distance of 10 billion light years between galaxies, if there were only one intelligent species per galaxy, they would only likely have a chance of meeting if their respective galaxies got close enough to collide.
We can probably test that hypothesis in about 4 billion years when the Milky Way and Andromeda galaxies are expected to collide (Better check whether your car and homeowner insurance policies cover such galactic collisions.)