ECL kicking my butt

Many of my users are complaining about certain databases that give them ECL alerts where the signer is "-No Signature-".
For users of one app I just went in to their ECL and gave -No Signature- all accesses. This is not a good fix long term, but it keeps them productive.
On another small database, I went ahead and signed the thing with my ID (which they all trust) and I'm waiting to see if it will help.