Bout were most (or one of the) competent military commanders of previous ruler, bout had little personal ambition and took crown more because of the sense of duty than anything else. Tiberius even resigned in 6 BC, despite Augustus clearly grooming him as successor (albeit, his motives are debatable and he returned to Rome few years latter). After becoming emperor, he took every chance to avoid actually doing something and eventually left Rome. Stanis does not seems to be the guy who would slack on the job if he took it, on the other hand. Underlaying motive, however, looks the same- they ruled, because they had to.

Also, Tacitus and Suetonius are two major sources about Tiberius- bout of whom painted him in bad colors. So dislikes is a thing he have in common with Stanis too.

There are a lot of differences, but generally, I could see these two sitting and complaining to each other about hardships of unasked crown.