MSW Interter: are the two sockets independent?

I have an el cheapo "300 Watt" MSW inverter. I want to run an ac wire to my main TV. Got to wondering if typically manufacturers just jumper the two sockets on the inverter together or are the parallel somehow? i.e. do I need to run TWO cables from the inverter to my soon to be installed socket at the TV to get the rated capacity (240W long term). Use one socket for TV and other socket to charge stuff.

I'm guessing they're jumpered together - one output / two sockets.