It depends on the Fire TV OS version. You can see what version under Fire TV Settings / Device / About (something like that). If you didn't block updates you are likely updated to a version of Fire TV that gives a message when you double click home explaining that now you can place your apps directly on your home screen, which is true it works awesome so no need for FireStopper. If you are on an earlier version such as especially if you are rooted with your update service package disabled using adb shell then you likely can run it. I was on 5.051 or whatever with Fire TV 2 and Amazon stopped my prime from working without specifying why. I have TWRP so I simply updated to a later Amazon version, which disallowed FireStarter and I could still run Kodi while having my Amazon prime. Amazon is pretty serious about their home screen. I can change the key code to be long press back button or something but Amazon would take it down and honestly I'm not trying to get on their bad list. Amazon completely disabled the ability to use a key code with the Home button for programmers, they removed the keycode.
If you have root access or you are running a version that can get root access I might suggest as an alternative for you to install a customer recovery called TWRP. Then install a later Fire TV version using Rbox prerooted roms. There may, or may not, be a problem downgrading your firmware again later. (I work on a lot of devices I apologize I don't remember on that subject with this device so Google it if that's important)
Here's a great website for rooting your device, I think 188.8.131.52 is the last version that is rootable if you don't have root already
The later version of Fire TV runs smoother, it allows Kodi and Private VPN to be on your home screen and everything works great. Amazon Prime, Netflix, Showtime, HBO are all not on any VPN of course, they don't work on the VPN lol