Agreed. Nothing wrong with the idea, but washing them may be an issue perhaps.
Are you handy with a sewing machine? I made quilts by sandwiching a layer of polyester wadding/batting between fleece - fleece-wadding-fleece. Easy to wash, absorbant, stays in place in the cage well. Dries in less than a day just hanging up over a clothes horse (even in a cold room).
Or there's vetbed/profleece. Some of it's thicker than others - there's two types, one with a rubber backing which stops most of the moisture getting through to underneath, or one without, which doesn't and is designed to completely wick moisture away to what ever is underneath. I like the rubber backed stuff, because they do very few wees on mine, but the occasional one that they do doesn't spoil what's underneath (I have mine over wire-mesh ramps and this prevents the wire mesh from going nasty and rusty).
You could use vetbed in place of carpet tiles perhaps, to put under your fleece or even on it's own. Vetbed is designed to be put in the washing machine over and over. Again, this dries quickly, just not quite as quick as fleece. You may have to cut the piece in half though to fit it in the washing machine and sort it in two wash loads, but it will be just fine in the cage in two halves, if that makes sense.
If you go with that option just make sure you cut it an couple of inches wider than the dimensions of the area you want to cover - some sorts do shrink a little over a few washes.
And likewise with a fleece quilt. Mine shrank a little!
