It is a shame really, throwing away material which could be turned into usable stuff and then having to buy it back again. 
I sometimes think the amount of work involved in turning grass in to compost is not worth the effort for the amount one gets. 12 months worth produces a few cubic feet of it and a lot of back ache!
Mind it would take a few bin loads to get rid of even one mowing of our paths so the choice is not really there. 
And if this rain does not stop there is going to be even more of it, nothing else is growing as it should, but boy is the grass.