What is a "solar-ready" air conditioner?
You paid a higher cost to have an AC with the built-in breaker circuit to handle the output from a small solar system.  The built-in breaker limits the size of the solar system that you can install for your house.  I would look at it as a Marketing pitch.  

Is there some benefit to using this &quot;solar ready&quot; feature when I get solar installed? Or should I just get it installed the &quot;normal&quot; way, as if I did not have a &quot;solar ready&quot; air conditioner?

When going solar, if the size of the system doesn't exceed the 16-panels limitation, You have one breaker panel you don't have to install. That's the bottom line.  
Why the limitation?  The solar size is restricted by the size of the circuit your AC is on.  If solar is connected at the main breaker, the size is limited by your service input and other minor considerations.
Another consideration is how convenient is it to route the solar power to the AC verses the location of the Main Breaker box.