In a word, "No." You may "think" that the great unwashed masses know a teletype "sound" from a tuning fork, but in honesty, they don't ... especially at 10-10 WINS.
Ever see a sitcom on TV, lousy as it might be, without a laugh track? (mechanically "sweetened" by a Macenzie machine"? Believe me, it's not about live audiences from since TV was born. Without that "sweetening" -- most TV sitcoms would be dead. To many millions, not just listeners of WINS, but to others of the once great "Group W" legacy that still holds true (such as KYW in Philadelphia,) the teletype sound is heritage and without it, you notice it.
After these decades of unique branding as an all-news station, losing the teletype sound would be a sad shame and a loss of uniqueness. You may not notice it until it's gone. But I assure you, it being gone will raise lots of questions about the "difference" in the sound of WINS, especially against co-owned WCBS.
It may be branding, but it's cheap and sure effective. In addition, it works. It, better than any sounder or jingle, says "News at the 10-10 spot on your dial."
Keep the teletype. Please?