This makes cleaning my 3 pairs of chuck taylors too easy. The fabric easily gets dirty and I'm a neat freak. I used to wash them like every 3 weeks. LOL What I recommend is to find an ample amount of detergent to put so it can be cleaned thoroughly.
I have my weekly rotation of shoes and cleaning them up every 3 mos. I hate brushing them manually and putting them in the washer will definitely deform it. Putting it inside the bag and letting the washer do its thing is the most convenient way of cleaning my shoes.