No they are not water proof. Three things you could do. You could seal them, but since the good Dr. Fried Parts says the power ratings should be halved, you might need to double up on each resistor. Or you can mount them in a automotive rated case, like under the hood car fuse boxes are.
Or you could get Load Resistors designed for automotive use. They are encased in aluminum, to provide resistance against weather conditions without affecting thermal conductivity.
You could also just deal with them as is. Unless you are off roading in river, or driving through flood prone areas, cars normally do not get much if any water under the hood, especially at headlight level. If they did, alternators, batteries, lightbulbs, fuses would all have serious risk of damage with the current state car design.
How about an alternative solution(s)? 1, Get a second set of led turn signal bulbs, hook them up in parallel. You instantly get twice the load on the line.
2, disable or trick the current sense circuit on the line. If people can trick emissions systems to remove o2 sensors that way, I'm sure a simple light bulb burnout sensor or circuit/system can as well. You might need a factory wiring manual for that.