One of the first things I do when I buy a new Android phone, like day one, is to enable developer mode. I usually use that simply for the ability to speed up animations so the phone feels a bit more snappy. In all the years I've engaged in this behavior, I've never had an application refuse to work. A rooted phone? Yes. Definitely. But just having developer mode enabled, no.
That said, it may be that I've simply been lucky and have an encountered that yet. So I'll be keeping an eye out for it.