I've displayed an FM title and never noticed a problem with cheating once. Your question is the first time I've ever thought about the concept of someone wanting to cheat more against a titled player.
If anything, most players would want the opportunity to get to play a titled player, and wouldn't waste it by cheating with an engine. How do you know that his opponents were cheating in most of his losses?
A title sometimes attracts cheating, but those cheating against a titled player (or generally a strong player) are easily identifiable. Usually they are below average players having played a small number of games (to climb to that rating of a titled player) on an account used particularly for cheating.
However, I don't see any point of doing this. The more common intention for an amateur is to test their skills against a titled player, when they get the chance. So, as a titled player, it is more likely to get an opponent wanting to test themselves against you rather than a noob trying to cheat and score an illegal win.