When a FAT formatted removable drive is mounted on Linux, all the scripts and binaries on it lack the execute permissions due to the fact that FAT does not support POSIX permission bits.
Well, it's possible to run them like
$ /lib64/ld-linux-x86-64.so.2 /media/fat_drive/binary.elf
$ python3 /media/fat_drive/script.py
But that's verbose and inconvenient.
It's also possible to remount the drive with either exec or showexec option.
But exec is an overkill that makes everything executable, which is unfriendly to tab completions.
The showexec option is more thoughtful, as it works at file level; however, the executable bit is only based on file extensions - it's insane to rename script.py to script.py.exe, which would prevent the same script from running on Windows.
To get the best of both worlds, Cygwin provides a decent mount option named cygexec. It's based on magic bytes in file headers; thus it plays better with shebangs, and do not require extension names. To introduce the feature back to the Unix world, I modified the pass-through example from libfuse a little bit to add proper permissions for executables in their stat() results.
$ gcc -Wall -Wextra -o cygexec cygexec.c `pkg-config fuse --cflags --libs` -lulockmgr
$ ./cygexec /path/for/mount/point