I've followed the link now (no longer on TT). AdMob may collect more than I'd like (well, anything at all is more than I like
) but it isn't a push advertising network.
Where did you find the detail of what the ringtone thing does? Not having such an app, Lookout wouldn't let me read the detailed description. I could imagine an app that would change what you hear as the ringing tone (though I'd much rather not!), but one that changed what other people hear sounds unlikely (and suicidal for a network to collude in something like that).