ESXI hosts have been in the maintenance mode.
vSphere replication is presenting the error message, "vSphere Replication Management Server could not establish connection to vSphere Replication Server at '##.##.##.##:443'.
ESXi hbrsrv.log
2025-04-21T06:21:36.450Z Wa(164) hbrsrv[2101759]: [Originator@6876 sub=Misc] Method hbr.replica.SessionManager.readGuestInfoKeys not allowed in maintenance mode.
2025-04-21T06:21:36.450Z Db(167) hbrsrv[2101759]: [Originator@6876 sub=Default] CloseSession called for session; <5290784e-9883-0541-5840-d467350e3f5d, <UNIX '/var/run/vmware/proxy-hbr'>, <UNIX '/var/run/vmware/proxy-hbr'>>
2025-04-21T06:21:37.866Z In(166) hbrsrv[2101761]: [Originator@6876 sub=Main opID=hs-init-7a351dc5] HbrError stack:
2025-04-21T06:21:37.866Z In(166) hbrsrv[2101761]: [Originator@6876 sub=Main opID=hs-init-7a351dc5] [0] Host is in maintenance mode, skipping stamp
2025-04-21T06:21:37.866Z In(166) hbrsrv[2101761]: [Originator@6876 sub=Main opID=hs-init-7a351dc5] [1] Ignored error.
2025-04-21T06:21:40.172Z In(166) hbrsrv[2101786]: [Originator@6876 sub=Main opID=hs-init-7a351dc5] HbrError stack:
2025-04-21T06:21:40.172Z In(166) hbrsrv[2101786]: [Originator@6876 sub=Main opID=hs-init-7a351dc5] [0] Host is in maintenance mode, skipping CleanupIndex takeover check
2025-04-21T06:21:40.172Z In(166) hbrsrv[2101786]: [Originator@6876 sub=Main opID=hs-init-7a351dc5] [1] Ignored error.vSphere Replication 8.x and above
ESXI 8.x and above
It's an expected behavior as the host no longer distribute to the cluster because it is in the maintenance mode.
Exit the hosts from maintenance mode.