Like Amanda says a lot of things will factor in from my experience and you won't know for sure until you actually try it. Of course the trade off of quality versus data use ia a big one.
TVs are very different these days. Some have 60Hz refresh rate others have 120Hz rate, won't get into the new 4k ones. Some have a thing called Clear Motion to smooth out fast scenes which sports has a lot of. So, some TVs can handle lower definition better than others and still look good.
How are you getting the pic on the TV, through HDMI from computer browser or from browser on a Smart TV or app on the TV?
Much will also depend on the site you stream from. Their equipment, bandwidth capability, definition settings, compression used if any, etc. is going to make a difference.
Good definition on a 32" TV is very subjective and again depends on the TV itself. I'm fine with 360p but don't know how it would be with football. It is the definition all TV were back in the day of CRT screens. That use you quoted for an hour seems like it could be closer to 240p but don't know what is being done on the streaming server end.
Going to be one of those "don't know till you try it" kind of things IMO. One last thing in my experience is things tend to look better when using my laptop connected to the TV through HDMI cable versus using the browser or app on the TV. Plus usually have more control over the settings.
(Typing while you replied to Amanda)