I can't start wayland-native version of 1Password.

Well you intrigued me ftpd. I had never used Void Linux before. (Interesting distro… no systemd! Thanks for introducing me to it.)

I set up a fresh install of Void in a qemu VM (x86_64, glibc version), and installed qtile plus some dependencies (elogind, flatpak, and polkit) and was able to launch 1Password in Wayland mode. I did have to enable the elogind and dbus services and export the output of dbus-launch to get the flatpak to launch.

I also got the same console output as you, but those errors did not prevent the window from appearing:

This is on a system without Xorg or even Xwayland installed, so I can confirm that it is possible to run 1Password in Wayland in qtile on Void Linux.

Some more questions to help you troubleshoot:

1. Are you using the glibc or musl version of Void? I assume this is x86_64.
2. What GPU? Could you try launching with --disable-gpu?
3. Could you try deleting the 1Password app user data in ~/.var/app? (Make sure you have your Emergency Kit saved so you can sign back in to your account.)
4. In case there's a problem specific to the flatpak, could you try running 1Password from the portable .tar.gz? https://support.1password.com/install-linux/#other-distributions-or-arm-targz

Let's see if we can get this working as well for you as it did in my VM.