BIG-IQ has a big IQ, but I don't think it is smart enough to take care of that.
I don't think BIG-IQ would automatically deploy other objects that are referenced via an iRule.
However, the same way you get an error when deploying via GUI, BIG-IQ should give an error to deploy the iRule.
01070151:3: Rule [/Common/abc] error: Unable to find pool (abcddddd) referenced at line 5: [pool abcddddd]
Anyway, there is an easy way to be sure, try and post here the result.
I don't have a setup I can test that easily, otherwise, I would do.