I swapped to PlusNet a little earlier and am still using HH3. I am not seeing regular access, but am seeing some (see below).
More worrying, pbthdm.bt.mo does not appear to be BT ....
For wikipedia:
.mo is the Internet country code top-level domain (ccTLD) for Macau. The registry for this domain name is operated by the Macao Network Information Centre (MONIC).
Unfortunately, the whois for Macau (https://www.monic.mo/monic/faces/whois) doesn't recognize that domain.
00:38:19,15 Jan. CWMP:HDM close the socket.
00:38:19,15 Jan. CWMP:session completed successfully
00:38:18,15 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 2 PERIODIC
00:38:18,14 Jan. CWMP:session completed successfully
00:38:17,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 4 VALUE CHANGE, X_BT-COM_SAAF PassiveValueChange
00:33:22,14 Jan. CWMP:Recv fault packets from HDM.
00:33:22,14 Jan. CWMP:session completed successfully
00:33:21,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 4 VALUE CHANGE, X_BT-COM_SAAF PassiveValueChange
00:31:14,14 Jan. CWMP:Recv fault packets from HDM.
00:31:14,14 Jan. CWMP:session completed successfully
00:31:13,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 4 VALUE CHANGE, X_BT-COM_SAAF PassiveValueChange
00:30:00,14 Jan. CWMP:Recv fault packets from HDM.
00:30:00,14 Jan. CWMP:session completed successfully
00:29:59,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 4 VALUE CHANGE, X_BT-COM_SAAF PassiveValueChange
00:29:28,14 Jan. CWMP:Recv fault packets from HDM.
00:29:27,14 Jan. CWMP:session completed successfully
00:29:27,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 4 VALUE CHANGE, X_BT-COM_SAAF PassiveValueChange
00:29:10,14 Jan. CWMP:Recv fault packets from HDM.
00:29:09,14 Jan. CWMP:session completed successfully
00:29:09,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 4 VALUE CHANGE, X_BT-COM_SAAF PassiveValueChange
00:29:02,14 Jan. CWMP:Recv fault packets from HDM.
00:29:01,14 Jan. CWMP:session completed successfully
00:29:01,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 4 VALUE CHANGE
00:26:32,14 Jan. SAAF:Initialize TR69 Client Interface success.
00:25:32,14 Jan. CWMP:session completed successfully
00:25:32,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 6 CONNECTION REQUEST
00:25:26,14 Jan. CWMP:session completed successfully
00:25:25,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 4 VALUE CHANGE, 1 BOOT
00:25:16,14 Jan. CWMP:Recv fault packets from HDM.
00:25:16,14 Jan. HTTP Recv authorization success respond from:66.193.112.xx
00:25:15,14 Jan. HTTP Recv authorization failed respond from:66.193.112.xx
00:25:15,14 Jan. CWMP:session completed successfully
00:25:14,14 Jan. CWMP:session start now, server:https://pbthdm.bt.mo, Event code:, 4 VALUE CHANGE, 1 BOOT
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Recently moved from BT Infinity 2 to PlusNet. Very happy so far.