If my TV doesn't support 240p does that also include signal via RF?

[amc3]

Moved from http://www.famicomworld.com/forum/index.php?topic=13159.0

My Vizio TV doesn't seem to support 240p signals, according to my results testing a composite signal from a Twin Famicom (http://www.famicomworld.com/forum/index.php?topic=13151) and according to this list: http://www.hdretrovision.com/240p/#

I've been having some so-so success with using it via the RF converter and channel 96 on the TV. The signal appears but is fuzzy.

I'm into trying to clean up my RF signal from my Famicom per some good suggestions around improving the shielding on the cable but I wonder if that would even work? As I move the skinny RCA cable that runs from the Fami to the RF converter today, the snow gets better and worse and sometimes goes all the way to snow. But sometimes, it seems like it's on the way to getting better and then the TV suddenly says "No signal".

Is it possible that when I do achieve a very clean signal from RF that only then the TV decides that it's 240p and shouldn't try to display it? While the signal is still fuzzy and is appearing on the TV, the TV is showing that the signal is 480i...

[Great Hierophant]

What I believe is happening is that when you can see all the fuzzies, only the tip of the RF connector is connected to the screw terminal.  If the terminal makes contact with the screw ring, the picture should go clear for a split second then disappear.  My Vizio TV does this.