A common complaint about hearing protection.
In USPSA competition,, we are required to wear hearing protection,, and most of the people wear some form of electronic hearing protection. It's to allow us to protect our ears AND hear range commands.
Add in that many of us wear some type of hat,, it can create an issue at times.
If you wear a ball cap,, in general,, not a big issue. Other types of hats,, I see all kinds of innovative approaches to wearing the "ears" and having them work.
Dillon has/had a type of non-electronic ear muffs, that went behind the head,, and the wire frame was basically at neck level. Great for not getting interference by going over the top of the head.
BUT,, what is the real problem,, is that ANY type of ear muff,, that encloses the ears,, sticks up to where a hat doesn't sit in it's normal position on the head. The hat hits the muffs.
Many of us use a "sweat cover" over the ear cups,, and it's softer,, and allows a better seal. A ball cap is probably the best hat design for using muffs.
But if using a different type of hat,, it can be a problem. What I've seen many use,, is a set of custom ear plugs,, that fit in the ear, AND work the same way the electronic muffs work. Basically, electronic plugs.
I'm not familiar with the Sordins you mentioned,, so I can't help there. I can only offer what I've seen & experienced.