She loves me she loves me not!

I think the OP is talking about accidentally damaging or losing the grill covering if they are left off and stored somewhere like the garage.  We can’t help with that.  One has to listen to determine which sounds better, and if it is grill covering off that sounds better, and the look is acceptable, the storage issue really matters only for the re-sale value of the speaker.  I would keep them off myself, if the speakers sound better that way.

There wouldn’t be an issue if the speakers only come naked, like Audio Note speakers; even the ones well up into six figures are naked.

On at all times because the midget menaces cannot be trusted.

Off...into ’large format’ plastic bags (or plastic sheet diy versions), placed into diy cardboard sleeves sealed shut....back of a closet works, behind ’something’ large enough to do so.

Put a post-it on the back (or bottom) of one of the units if you’re ’out of memory’ like the early versions of ’puters used to be....

We have 2 young cats that we supply a plethora of things to claw up.

Knock on wood *rapping skull*, we’ve NEVER had pet damage on ANY speaker EVER.

We employ a squirt bottle (type usually found for a couple of $, used for cleaning liquids; here, water) to discourage unwanted behaviors.

We have 0 children, but believe the same technique would work with them without getting you arrested or the kids to be sent off to strangers.

....and there’s always tasers for the older ones, or your drunk brother-in-law...

Point blank works Great. ;)

...with the water, anyway.

Tasers?  Haven't had the need.

Your results?

Will likely vary....a lot.

GFLuck

If the speaker port is on the front then the grills help prevent insects from crawling into the speakers.   I keep my grills on.