Not really.
We actually see that Solar Beam ignores the damage reduction in Rain in the Champions trailer with Solar Beam KOing Politoed.
252 SpA Meganium-Mega Solar Beam (60 BP) vs. 0 HP / 0 SpD Politoed in Rain: 212-252 (66 - 78.5%) -- guaranteed 2HKO
So Mega Sol should be able to use damage dealing Fire moves in Heavy Rain, like how Solar Beam keeps it power in opposing Rain.
And you know, the ability is
"lets the Pokémon use its moves as if the weather were harsh sunlight.", so if you use a Fire type move it should be treated like its in Harsh Sunlight and get a 50% bonus. So it'd be pretty surprising if GameFreak just made an exception to screw over Fire moves.