Well, I can’t speak for missions, but I haven’t noticed any changes to drone agro in incursions.
Anyway, moving yourself up on the agro table might help take agro off of your drones (i.e. fit an autotargeter or TP, increase your DPS, fly closer to the rats). Also, try not dropping drones until your ship draws agro. And, if push comes to shove, you can use T1’s, and treat them as expendable. Of course, that’s more viable if you’re flying a ship that doesn’t get a huge chunk of it’s DPS from drones (i.e. the rattlesnake and Dominix). Oh, and guys who use sentries sometimes try to fit an armor rep for helping to repair damage to them.