Actually it does mean they do. since neither is dividable with each other until you get to at least 150hz. They're electronic, they can actually support multiple native refresh rates.
Do you have any idea who horrible TV in Europe would look if all TV's where native 60hz and the signal was 50(which it is)
No they don't. CRT TVs used to be either 50Hz or 60Hz and thus taking one from the US wouldn't work in europe, and vice versa.
LCD on the other hand doesn't work by firing electrons, if the screen updates once, then just pauses for 10 seconds, for those 10 seconds the image will still be there whilst on a CRT, nothing would be displayed.
If you really want to know, open up your TV, take the front plastic off and get the make and model of the LCD panel itself (NOT the PCBs etc.) and look for a datasheet, you'll find it's probably a 60Hz refresh rate because it'd be much more costly, stupid and really incompatible to produce 50Hz and 60Hz LCD panels when there really isn't a need because they operate nothing like CRT screens do.