Let's try to be balanced, for once shall we?
First, welcome to the forum BitFarmer. I hope this reception doesn't detain you from enjoying our company. I understood completely that you have been just showing examples from the Spanish media for us to comment. I guess it must be hard to keep a clear and unbiased view with the kind of media pressure put into the Hamilton / Alonso affair in Spain.
Second, most of the statements in this news articles and in the petition seem to be unlikely. I don't know which is the pressure usually used in F1 tyres. But 0.2 bar is a very awkward value. Also, a 650% difference in tyre pressures is something to blow the tyre or, at least, to make the car undriveable. Not something to make you lose 3/10 of a second. Then, it is known that the tyre warmers are used only to put the tyre in working temperatures. The warming up of the tyre is completed while driving the first lap out of the pits or so. If it was possible to warm the tyre up more, it would be beneficial, not the other way around. Anyway, if the temperatures had to go down, they would naturally while driving. Finally, the working temperature of a F1 tyre is way above 90ºC. I'm not even going to "facts" that are clearly wrong in the petition text, at the light of what is public knowledge.
I think that people must keep in mind that Spain is a country with little F1 culture. Hell, when I was in vacations in Spain in my teens I was very frustrated because the races weren't even televised, while in Portugal I saw them live since the early 80's. Then, it was the Rally frenzy because of Sainz in the 90's. A country that never cared about car racing was, from night to day, a country of rally aficionados, as they stormed the Portuguese roads to follow our Rally. The same is happening with F1 since Fernando Alonso started racing. Little culture of the sport combined with personality cult degenerates in this kind of event. I'm also yet to find a Spanish that watches F1 who's not an Alonso fan. I believe that for most countries, that's a very peculiar thing (at least in Portugal it is).