Are Certain Fallout Shelter Enemies More Susceptible to Certain Weapon-Types?

Solution 1:

No.

"Damage Type" is not a thing in Fallout shelter. The only comparison is damage/fire rate/AoE vs Single target. Since Deathclaws are fast, high damage automatic/burst fire weapons are your best bet, since you're likely only going to get one "round" of attacks off, before they move to the next room.