I remember I discussed it with someone (and I was totally surprised, like 'what do you mean') and it turned out that the user saw some similarity to the word "suka" (the word for the female dog, has the same figurative meaning). Well, he was a British native speaker so for him the 'r' sound kinda vanished. Basically, that was a big stretch to call them similar ;)
Unfortunately there is no rule to the -owie ending. It can only occur with masculine personal nouns, but that's about all I can say on that topic. There are even nouns that allow two forms, e.g. Profesorzy/profesorowie, bohaterzy/bohaterowie...
Note that masculine personal endings are often different from other plural endings, as they feature a "palatalizing i" at the end.
- Policjant -> Policjanci (t changes to c)
- Pracownik -> Pracownicy. (k changes to c)
If you don't change the penultimate letter and just say policjanty and pracowniki, the meaning will become derogatory.
Drzwi is a rare exception as it is a pluralia tantum noun (no singular form exists).