I heard something like this, too, after we bought our Vizio LCD 42" several yr ago. We have a Trace [now Xantrex] modified sinewave inverter which we've been using for 20 years or so.
We have had no trouble with our TV. None. Including no flickers, no noise, etc. None.
Actually, we have had no trouble with anything electronic, ever, with our inverter, including our five Mac computers and all their related stuff.
Or any trouble with motors, such as for the vacuum, washing machine, etc.
I am not saying the warnings about mod. sine wave are bogus. I am only saying we have had no problems with anything in two decades. If it comes time to replace our inverter, I will almost certainly go with sine wave next time. Back when, so to speak, sine wave inverters were way expensive and often limited to a few hundred watts. Now, they are much more affordable and have 2500-3000 watts and up.
Edit: well, I was just thinking, back in the 80s I had a couple of large, high-end reel-to-reel Tascam tape recording machines, and there was a slight hum from the inverter I had to add a choke to the line to stop. I never did try the with a sine wave inverter, though a physicist buddy of mine was certain a sine wave inverter would've stopped the hum, without a choke. He got me the choke for a buck or two at some used electronics store, so no big deal. That has been the only hassle with the Trace.....