I doubt that, people don't care about history or tensions betweens countries when they win
Anyway 60 % of the people who televote are cattle who doesn't have a clue where Azerbaijan is and where Austria, Moldova or Lithuania, which they will be voting for are & what music is.
They don't know about history between countries, mostly all they know about europe history is just they was two WW but they can't remember when
It has never helped any country that the contest was organised by an unfriendly country for them, it's mostly the other way around, i think Turkey for example will have a lot of apllause in Baku and that may help them, Like Latvia & Denmark had in Sweden & Estonia.
Right now if Armenia goes to Baku it has 1 shot out of 45 to win and that's all