I don't know (not that I claimed to know) that it is impossible to use with GoDaddy because I am not privy to how they have their infrastructure set up. What I do know is that GoDaddy disables by default many features that are important for more advanced uses of WordPress.
I also know that asking their support reps to investigate is almost always a waste of time. (Yes, I do have direct experience of that, but you can try for yourself.) Even telling them what they need to do in order to make something work is typically akin to beating one's head against a wall. For that reason, I now refuse to work on any site that is hosted with them unless and until it is moved somewhere else.
A good managed WP host, on the other hand, will help you identify any problem and then resolve it for you if it's at their end, because they specialize in hosting WordPress. GoDaddy doesn't: it would much prefer you to use its own in-house web-builder.
That's why, as you said before, others have told you to move from GoDaddy. But Lightningbase isn't the only managed WP host around (and GoDaddy isn't the only problematic host). You could always try a managed WP host for a month -- most offer money-back offers -- and then see what you think.