Will it work? Sort of.
Reddit’s awesomedan24 has run GTA 5, Watch Dogs, Saints Row 4 and Soul Calibur 5 through a 1973 black and white TV on his Xbox 360, for no apparent reason other than to see if they work. They sort of do. Check the entire set on Imgur.
It’s all a bit broken, but then of course it is. Everything looks playable, even if it seems as though it’s been pushed through a colander.
Saints Row IV fairs a little better, seemingly, than Watch Dogs, and GTA 5’s a bit broken because of the resolution. Do you reckon the space games we’ll be playing in 40 years will work on today’s AV? Think on.