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tvs and dvd/blueray devices don't require much power, so the batteries should have no problem powering them the whole night, if you're an all-nighter type.
of course, most folks don't take into consideration all the 'other' 12v items that are being used while just on the batteries, also, such as lights, fans, the water pump, furnace, and normal draws from C02 and propane detector, etc., that also draw down your batteries at the same time.
So, answering your question is really an impossible task. Everyone 'uses' power differently, and the state of your batteries, the time you are using devices, and even the outside temperature all play a role in 'how long' batteries can do anything.
But, it's doubtful that only using a few 12v and 120v items during the evening hours is going to be any real issue for your batteries, when you are off-grid.
It's both a combination of your Inverter usage AND your 12v items that will determine your 'battery time'... and it's different for everyone, and even different every day.
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