One thing, and it may only be a few, that Ive learned "growing up" is that people who uses the word naive - very often are just that themselves.
And no. I dont think, that all airlines are neither anal nor make phone calls. But maybe they should. Its called discretion, mate. Most companies will appreciate the fact that the prospect is still employed by another company. Cathay never called my previous employer - and thank god for that!!
So dont be so worried. Have fun.