Seems to be an issue with the appimage needing root permissions
~/Downloads$ ./cursor-0.35.1x86_64.AppImage
[367372:0627/145523.212630:FATAL:setuid_sandbox_host.cc(158)] The SUID sandbox helper binary was found, but is not configured correctly. Rather than run without sandboxing I’m aborting now. You need to make sure that /tmp/.mount_cursorywdzva/chrome-sandbox is owned by root and has mode 4755.
Trace/breakpoint trap (core dumped)
If I workaround by extracting and running apprun within the extracted folder, the app mostly seems to work but there are unwholesome looking sqlite errors