I’ve found it! Not manually, but using sysd-manager, it is vmtoolsd (/usr/lib/systemd/system/vmtoolsd.service). After enabling it, at least “Autofit guest” started working. I also enabled vmware-vmblock-fuse, but I’m not sure if it is related.
PS. Even more, now KDE Linux correctly reacts to “Shut down guest” in VMware Workstation.