I'm surprised you have had trouble with insurance, after all the policy should have a clause somewhere stating cover for bursting or leaking appurtenances.
I have never honestly heard of a slow leak not being covered.
Love to know who the insurer is so I don't go near them.
As for the kicks I don't see a problem just replacing the kicks but it will be very labour intensive and somewhat awkward cutting to suit the floor, and of course cabinet makers make more money doing full kitchens and don't like anything out of the ordinary.
FWIW cabinets are in the top expenses in a home