I have done it both ways.
I had insurance and it was a pain, I had to get pictures and appraisals (or state the BLUE BOOK as reference).
I had a claim and they jumped the insurance to unbelievable, and this extra insurance then became a claim on my house which raised all my insurance.
So I said enough.
I bought a gun safe and dropped the insurance.
The bonus is all the stuff I can put in gun safe - cues, guns, jewelery, coins, documents.
I have never regretted getting a gun safe. I only take out a cue or two at a time, so the risk is minimized.
Hope this helps.
Best of rolls,
Ken