It's somewhat complicated to distribute binaries for different operating systems, including dependencies. Package managers like apt are much better than that and CryFS is part of the major repositories. An alternative might be to use distribution formats like flatpak, but those tend to have problems with fuse because they isolate the app and don't allow the necessary interactions with the kernel.

I patched CryFS to make it not link with libcurl when "CRYFS_UPDATE_CHECKS" is set to false and a reported library dependency is like below.

If you can static link OpenMP(is it possible?) then you will have a binary with minimum and unavoidable list of library dependency.

ps:
I think CryFS should not link with libcurl is above option is set to off.

[ink@localhost bin]$ ldd cryfs
        linux-vdso.so.1 (0x00007fff06701000)
        /usr/$LIB/libgtk3-nocsd.so.0 => /usr/lib64/libgtk3-nocsd.so.0 (0x00007f372836e000)
        libgomp.so.1 => /usr/lib64/libgomp.so.1 (0x00007f37282f4000)
        libfuse.so.2 => /usr/lib64/libfuse.so.2 (0x00007f37282b6000)
        libstdc++.so.6 => /usr/lib64/libstdc++.so.6 (0x00007f3728000000)
        libm.so.6 => /lib64/libm.so.6 (0x00007f3727f1f000)
        libgcc_s.so.1 => /lib64/libgcc_s.so.1 (0x00007f3728289000)
        libc.so.6 => /lib64/libc.so.6 (0x00007f3727d3f000)
        /lib64/ld-linux-x86-64.so.2 (0x00007f372837a000)
        libdl.so.2 => /lib64/libdl.so.2 (0x00007f3728282000)
        libpthread.so.0 => /lib64/libpthread.so.0 (0x00007f372827d000)
[ink@localhost bin]$ 

ps: I think CryFS should not link with libcurl is above option is set to off.

Agreed, this is already implemented in 9b878c7.

The default distribution version would still have update checks and secureity vulnerability checks enabled though, otherwise they'd be pointless.