Nobody sane wants software to auto-update, especially not security-relevant software. This is in particular true if you reviewed the source code of the software at one point in time.
Furthermore, for the software to be able to even auto-update, it would have to be able to change its own binary. I don’t know how this particular piece of software works, but it is possible to run FUSE ‘drivers’ as a user on Linux, with the binary safely sitting in /usr/bin, hence removing any possibility to auto-update (if you don’t do shady tricks like placing an ‘updated’ binary somewhere and changing the user’s PATH – and even that could – in theory – be avoided by mounting all user-writeable things noexec).