When used nonrestrictively, a parenthetical can start with a coordinating conjunction. E.g.1, "I like bachelors, or unmarried men, because they are fun."
However, I see writers using parentheticals with a coordinating conjunction that are clearly adding new information to the sentence and thus are restrictive. E.g.2, "These apples, and the bananas next to them, are delicious."
The commas in e.g.2 look entirely unnecessary and incorrect to me. Are they?