The series is prone to it due to Tracy Island's continued secrecy and International Rescue's policy of not even allowing their aircraft to be photographed. The 2004 movie basically had to throw the latter idea out because in an era of mobile phone cameras it simply wouldn't be workable.
However, in an earlier script for the film that wasn't used, anytime a camera was pointed at one of the Thunderbirds it would just stop working.
On the subject of things requiring too much suspension of disbelief in 2004, did the movie address the matter of how International Rescue managed to operate in total secrecy without any of their craft ever being detected on launch, or indeed simply being tracked on the way back home?
I believe Bill Paxton did mention something about an "Anti-Detection Shield" or the like when Alan and Fermat accidently begin the launch sequence of TB1.
Yeah, he did. We can infer from the name that the craft have some kind of technology attached that blocks any attempt to track or detect them via methods such as radar (which is why The Hood needed that Applied Phlebotinum stuck to Thunderbird 1 to track the craft back to the island).
Why does the guy up in Thunderbird 5 have a Jersey Shore-like tan? All that un-filtered sunlight!
In "Thunderbirds Are Go", what would have happened to the Hood had he not caught his foot in the Zero X's elevator control. He surely would have had to remain in the craft, since it looked like it was nearing the Earth's atmosphere at that point. I'm not sure he would survive a parachute jump from that height.
More importantly, why did he choose to get in zero-x when it was taking off? Surely it would be easier just to sneak in at night, not when billions of people are watching?