I've had mine for about 6 months now and it's never been right, it's always had disconnection issues. Like you say it's annoying and embarassing, mine does constantly, everytime i play a different song from the library. I've updated from ios8 to ios9 so finally got it working again after weeks of waiting for the update and i was hoping it would have cured the problem but no avail.
Anyway, ive had enough today, I've been in touch with the shop i bought it from and they are going to send it back to line6 for them to have a look at.
I'll update you when i get it back.