I just spent the afternoon on the TSA site to figure out if I can bring a frosted cake on the plane. The site does not give detailed yes answers on anything. My suggestion is bring and wear them if it makes you more comfortable. At most, they would ask you to remove them...that's not going to stop your lovely trip so go for it.
I also bring a botlle of saline for my nose and eyes on planes with me. Since I have been putting drops in my eyes during flight and snorting up saline (put a puddle in my palm instead of buying two saline bottles), I have not caught a cold after flying. Before the saline, I got a cold after literally every flight. I believe keeping both hydrated prevents some influx of what's in that recirculated air.
ps...the best answer I got about the cake is..they are allowed, but may be subject to additional scrutiny. Since additional scrutiny is so vague & may mean ruining my icing work, I am not taking the cake.