4003 mute modification - is this possible?

[jwr2]

I've seen the mute screws come loose and fall out of some basses ...

[antipodean]

I've seen the mute screws come loose and fall out of some basses ...

When I was but a lad, the combination of my punk downstroke-only pick action and hand placement resulted in the progressive loosening of the bass-side mute screw on my 4000, particularly during very energetic numbers, necessitating a quick tightening at the end of each song. Thankfully, the more energetic songs were usually the shortest, so it only popped out on a very small number of occasions.