Bar would certainly strengthen the concrete Jake. The trouble is, that doesn't address the problem. If there is any topsoil/organic material under the concrete, settlement is likely.
Bar simply mean the strip will be unbroken.
If you can't get down to subsoil or better, then a more effective way is to create a concrete "raft". That is, a square of 100mm concrete over 100mm hardcore) the size of the whole greenhouse.
It still breaks the rules over building off compressible material, but at least any settlement will be over the whole area. The whole thing may list to one side eventually, but at least the g/house will stay intact.