Nuts! Happened to me last night around 6 miles into a Little Cottonwood ride. 'twas using my tablet and as best as I could tell, it'd dropped the connection to the kickr. After a minute or so I stopped pedaling and pulled the plug on the kickr, hoping to reestablish its connection., which didn't help.
I was quickly passed by a herd of my own ghosts, the closest of which was only ~10 seconds behind when things went south. I was feeling strong enough to hold them off and figured I'd finally break 1:16.
Sigh.
Repeat after me ... WIRELESS IS RUBBISH, WIRELESS IS RUBBISH, WIRELESS IS RUBBISH!
Seriously, streaming via WiFi is highly likely to struggle, as wireless is prone to interference from microwaves, DECT phones, fairy lights, REIN (Repetitive Electrical Impulse Noise), SHINE (Single Isolated Impulse Noise), other devices using the same WiFi (since the bandwidth is shared between all devices using it), walls, furniture, your body, etc. etc.
It also shares the same frequencies (2.4 Ghz) as Bluetooth and ANT+, so they can all interfere with each other, unless you switch to the 5 Ghz band (N or AC).
Many people don't realise that the bandwidth figures quoted for wireless and mobile networking are shared between all the devices using the access point! The same is true for powerline (via the mains wiring).
WiFi may be OK for browsing the web and even when streaming video, as it can buffer up a lot and smooth out interruptions but for an interactive video simulation (and gaming) long buffers are impractical (if you want real-time responses) and latency is important.
If you can, use a computer and stick an Ethernet wire into it (via powerline if you really can't get a wire all the way to the router).
If you must use a tablet and hence wifi, try setting up a dedicated wireless access point (preferably 5Ghz) in the room, with line of sight to the tablet, and with a wired (or powerline if you must) connection back to the router, then only allow the one device to use it (and any powerline), that should reduce interference and eliminate contention.
Cheers,
Geoff