Could well backfire.
I remember when I played in low grade all age. I personally thought that people were usually better behaved when we had a club ref than with an official ref, less dissent, less attitude and aggression.
It's almost like having the club ref lowered everyone's expectation of what to expect, so nobody got carried away at some of the terrible decisions - whereas with a proper ref...well, you know how that goes. Not overly bad, but noticeably different.
In a way I suppose that's a good thing that the non-qualified referees were treated with consideration, but all refs should be, of course.
I also don't think this is the right answer - punish referees by not letting them earn money and do what they enjoy, and punish the players who are doing the right thing.
Of course, I can't help but wonder what sort of sentences this FA has handed out for abuse, assault and similar problems. I'd guess 'inadequate' probably sums it up, like everywhere else.
If the FA wants to stop with abuse, first they need to exercise the tools they have, rather than doing nothing for years then implementing some stupid token gesture that achieves nothing, punishes everyone (including referees), and is likely to cause its own problems.
And that's it - just what exactly do they think this is going to achieve?