The courts and the law will take into account the level of insurance carried by businesses in assessing whether a limit on liability is reasonable.
Most prudent businesses carry a raft of insurances.
It is sensible, commercial practice to do so. Beware though that you consider if your limitation of claims from customers is out of step with your cover. Use it to your advantage. If the client won't pay, this can be evidence that the restriction on the claim is reasonable. The weapon now available to you in the UK is of the water pistol variety.