Mid Century Upholstered lounge chair - low back with removeable cover

I picked this funky chair up at an auction and have been using as found for a few months. But I got to thinking about re-uphostering the original fabric and when I turned it over, I found out that the cover is velcroed on and can be removed. I thought that was kind of different. and now I am not sure about changing it. And I am scared to remove and launder, as it may not go back on the same. I definitely need to spend some time re-newing the legs and hope to this fall, when its cooler.
Any thoughts on if you have seen this in your Grandmother's house and about when would be appreciated. Some similarities here to Jen Risom....but I am not certain and there are no tags, and the cover removal instruction tag, is 1/3 gone...bummer.