I don’t know if it’s the problem, but you’ve definitely got something strange going on with your network. The Plex server is connecting to the tuner from its link-local IP address (169.254.136.236); presumably the tuner is using a link-local IP address as well (169.254.169.89 perhaps).
Link-local IP addresses are generally used when a network interface is configured for automatic configuration (DHCP) and it is unable to obtain an IP address. This could happen, for example, if you had the HDHomeRun connected directly to a network interface on your PC. Or if that interface on the PC and the HDHomeRun were connected to a separate LAN without a DHCP server.
Like I said, I’m not sure if it’s the cause of the problem; but HDHomeRun tuners are intended to be able to connect to the Internet; this may explain why the timestamps are off in your HDHomeRun log. I think there are ways to work around that (Internet connection sharing on the PC, for example) but I’m not sure how well-supported they are.
That “issue” aside, there does appear to have been a transcode. And your logs show that the network is bouncing:
Apr 03, 2020 11:02:10.076 [10508] DEBUG - Network change.
Apr 03, 2020 11:02:10.076 [10508] DEBUG - NetworkInterface: Notified of network changed (force=0)
Apr 03, 2020 11:02:10.176 [10508] DEBUG - Network interfaces:
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:02:10.176 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
And:
Apr 03, 2020 11:07:00.409 [10508] DEBUG - Network change.
Apr 03, 2020 11:07:00.409 [10508] DEBUG - NetworkInterface: Notified of network changed (force=0)
Apr 03, 2020 11:07:00.506 [10508] DEBUG - Network interfaces:
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Got notification of changed network (first change: 0)
Apr 03, 2020 11:07:00.506 [10508] DEBUG - NetworkService: Dispatch network change after two second delay.
The timestamps don’t line up between your HDHomeRun and the server, but the spacing of the events do match those from that logs. The first network change events occur roughly four minutes after the start of the recording; the second occur roughly five minutes after that. Lack of stream data could cause the transcoder to fail, I’m fairly certain.
So check all the network connections between the tuner and the server. Maybe swap out some cables if that’s a possibility. If the tuner isn’t on the primary network of the server, try placing it there.