This is the first I've heard of any refrigerators even having water filters. Are they plumbed into the water mains, or a small tank?
There's a carbon filter inside the fridge, they cost about $50 to replace. For any drinking water I usually use the fridge.
Funny thought - what if we had filters on our computers, digital filters, that needed cleaning. Oh we kind of do! Its cookies and tracing pixels and digital footprints. You should clean those out too.