What is the damage of the explosive Palico attacks?
Solution 1:
After doing some testing of my own, I found out that the damage of the two explosive attacks is only affected by the palico's ranged attack. The weapon's element, affinity, and whether it is a cutting or blunt weapon have no effect on the Meowlotov Cocktail's and Rath-of-Meow's damage.
That said, since a palico's weapon only adds a relatively small amount to a palico's base attack, the choice of weapon is for the most part irrelevant. From my testing, changing from the starting palico weapon to the weapon with the highest ranged damage increased the Meowlotov's damage by about 12.