Well, no need to have a customer pay for everything that you are insured for … BUT …
– you CAN (and imho should) add an insurance fee to your quotation (after all, YOU have to pay for the insurance, no reason taking that on yourself right)
– if your insurance has a treshold (an amount you’ll always pay yourself), you should have in your contract that your gear is insured, but there is a “own-risk” of amount x.
At the end of the day it’s about you not having to pay a dime when something happens to your gear during a gig (or transportation!).
Getting your insurance fee covered by the customer helps. This is very common practice with PA rental companies. I usually end up paying 6% insurance fee on top of the rental costs.