Some of you will disagree with how I do it, but it has worked for me since 1983. First with Hondas - 3-wheelers, then 4-wheelers, then Yamaha 4-wheelers and finally the Wolverine. I have always used gasoline to clean the air filter. I put about 1" of gas in a plastic oil catch pan and repeatedly mash the filter flat, turning it over and over several times. With the gas you can completely clean the filter in 2 minutes or less. I pour out this dirty gas and repeat the same procedure a 2nd time with clean gas. Since 1983 and 7 machines my foam air filters are cleaned about every 500-700 miles depending on the riding conditions. I only had 1 foam air filter start coming apart at the glue seam and that was on a 1998 Honda 450 Foreman after about 5 years of cleaning it in gas. Back then I was a lot rougher, ringing out the foam, squeezing and twisting the air filter to get all of the gas out of it. Now I don't twist the air filter but I still squeeze it to get as much gas out of it as I can. I don't wash the filter or do anything else to it as far as cleaning it after cleaning it with gas, I let it air dry overnight before re-oiling it. What little dried gas residue is left in the foam doesn't matter since it is a petroleum product and your putting a petroleum product right back on it.
My 2016 Wolverine's air filter has been cleaned about 7 times now, all with gas, and no signs of the glue seam starting to separate. I do give the filter a good inspection each time it is cleaned. The gas will not harm the foam at all, if serviced regularly. Keep in mind the filter is a perishable item to start with and not intended to last forever, even though in the right circumstances it is not unusual for them to last 7-8 years or longer. Gas is probably not ideal for the glue seam but what little time it is in the gas and then allowed to completely dry before stretching the glued seam has not caused any problems, except for when I used to be pretty rough in the cleaning process on the Honda Foreman. If I do notice the glue seam start to separate then I'll just chalk it up as time to get a new foam filter.
I have seen the air filter foam on a couple of machines start to deteriorate to the point of starting to crumble apart. This has always been on machines that have been severely abused and the air filters were not serviced on a regular basis, if ever at all. I once saw a 2008 Yamaha 700 ATV that the air filter was so clogged up with dust and debris that the pores on the foam were not even visible, the entire surface of the air filter was caked solid with dirt/dust and pieces of grass, etc. It was amazing that any air was even getting through the filter at all, no telling how much damage had been done to the cylinder. When I wiped the caked up material off of the air filter the foam was crumbling apart.
I always have gas readily available, is inexpensive, and gets the filter clean, fast, so I use it. When the 2007 Yamaha 700 ATV first came out, Yamaha was recommending to clean the foam air filter using Dawn Dish Washing Detergent, so I gave this method a try on mine, one time, once was one to many times for me. Trying to clean the Yamalube Foam Air Filter Oil from the filter was a disaster and I said never again. After multiple washing with the Dawn to no real avail, I said forget this. It is always gas for me, so I can clean the filter quickly.
I also came up with a solution to the toilet paper shortage, but no one yet has liked my solution. Use both sides of a sheet of paper, cuts the consumption in half. LOL, LOL. Everything is a trade off, clean butt, but dirty hand.