Thanks for the answers, folks. Can't help thinking but this is a bit of politics from Apple too..?
There are limitations also in Android what comes to file formats to be transferred via BT but renaming the only forbidden (apk) file format to something else, you can go around the problem. Of course, there are possible hazards in this if you transfer something from an unfamiliar source, but like I said, that's usually not the case with BT.