[Hermann the Cherusker]

"... and hold their office by virtue of their union with St. Peter's See."

How does this work out with Orthodox bishops and Patriarchs from a Latin pov?

Because Rome accepts certain episcopal acts among the Orthodox as legitimate, she recognizes a de facto holding of jurisdiction and office by the Eastern Bishops. Since there are many explanations for how this is so it is a debated matter.

The long and short of it is that canonically Rome essentially accepts the Eastern Bishops as legitmate Bishops of the Catholic Church.

[Kolokotronis]

"The long and short of it is that canonically Rome essentially accepts the Eastern Bishops as legitmate Bishops of the Catholic Church."

That is my understanding; and also vice versa, by the way.