Feel free to add educated speculation in how this technology might provide reliable evidence for those watching over WiFi or expand on why it is infeasible to do this.
So I had a think through and I think it's actually technically possible, you can easily dump the traffic from a wifi network, that's not up for dispute and with a directional antenna and the right radio hardware you could do so from some distance.
If, for instance, an iplayer stream included a sequence of predictable packet sizes at a regular interval (i.e. something like, if every two minutes it sent a 10 byte packet, followed by a 35 byte packet followed by a 51 byte packet) then the chance of that repeatedly occurring randomly, in that sequence, is extremely small (like, if the sequence is 10 packets long then the chances get into the billion to one range...).
Also keep in mind TV licensing could possibly enforce fines under civil law rather than criminal in theory, where the burden of proof is lower for them.
It would actually be fairly difficult to circumvent as well, even if you used a VPN or padded the traffic in some other way the pattern would continue, just offset.
Obviously, not using wifi would be the obvious option, though if they got the client side to send the sequence to a broadcast address then unless your wifi and wired networks were completely separate then it would leak out and be detectable.
The best defence appears to actually be a legal one - if you have a TV license you are licensed to watch TV on a mobile device anywhere, so if you say 'oh my friend was round and he was watching iplayer on his phone connected to my wifi' (and he has a TV license) then there's sod all they can do even if you don't have a license... (though, that depends on them believing you...you might end up in court trying that one if they don't)