The way unconscious works is quite lazy. As organic enemies still use the same animation whether their killed or knocked out. They'll fall out offs bridges and out of buildings regardless what type of ammunition was used.

Firaxis is know for being lazy. They have at least two members on the squad who are tech savy enough to pull data off hard drives. So it should be possible for robots to be disabled with Bluescreen rounds the same way Tranq rounds work for meatbags.