I was looking at that case as well and was worried the straps might get stuck on the analog sticks. Really no big deal but I also found this case that should work as well: https://www.amazon.com/dp/B07GF3BTJ5/
Nice! I ordered this one. It BARELY fits in when new.
Now that I've had it a few weeks, it's broken in and works perfectly. I just have to put it in in a certain direction. Doesn't move around at all.
I bought and received the Amazon.com: External Hard Drive Case - Shockproof EVA Carrying Case for WD My Passport Element Seagate Expansion Backup Toshiba - High Protection Portable Travel Electronic Power Bank Bag (Black): Computers & Accessories case. It doesn't fit properly. In fact, the Backbone One controller doesn't fit unless you insert it only halfway and have it not rest on the bottom of the case and then just zip it close as is, or you really force it into the case and the L2/R2 buttons are pressed when the controller is stored. I'm not waiting around to see if it'll break in after a few weeks. I just ordered the suggested Syncwire case Amazon.com: Syncwire Travel Case Gadget Bag, Portable Electronics Organizer Hard Small Wire Accessory Storage Bag with Durable Carrying Strap for Cables, Chargers, Gadgets, USB Drives, Earphones, Power Bank: Home Improvement . That one looks like a great fit per the photos. Thanks.