With all due respect Sir, that's BS that was fed to you by Boeing probably.
Negative.
Lockheed actually glued five inch typically shapped ice formations on the horizontal stab...and found no problems, whatsoever.
As in
none. Info directly from the guys that did the flight testing, at Lockheed.
737?
Can't say, never flew that small jet.
Large heavy jets are simply in another category, altogether.