How long you have been using them and what is it that they do ?
Not knowing exactly what they do, I suspect that they possibly access areas that give cause for concern. A bit like a PUP, it can be used for good or evil, depending on who and why they were installed.
Until we know more, no one can give advice on if you should allow them.
Hopefully someone that also uses them can advise why they might be being pinged.
Hardened mode Aggressive is normally a little quieter than Moderate, which seems strange. It checks all files against the avast cloud.