...I can't imagine how chaeto could be difficult to remove. It does not attach to anything. It may wrap around your egg crate but it is not attach to it. If it does then it is not chaeto...
I also do not think this is chaeto. Chaeto is very easy to remove. Now, if is Calerpa, this can be a big pain.
Might want to post a picture. The reason, is that this is probably not chaeto.
As an aside, when I first bought chaelo, I went to a LFS and specifically asked for Chaeto. I was sold Calerpa and was not told it was this.
Good luck,