The log for hostd from when this last happened (or next happens) would be useful: ESXi Log File Locations
Please use the Attach function in the bottom-right corner of the comment creator (rather than dumping the text into a comment)
The explanation is not enough to understand why hosts are "disabled".
I recommend that you publish the log files of a host that has just been turned off.
And if possible, open a request for information also in the Veeam community to verify that there are no settings that cause problems for the hosts.
When a host shuts down, do you find the virtual machines migrated to other hosts, or do you find them turned off with the host?