Not really, Tim.
You could model it and see for yourself, but after a full wave loop length, the pattern starts to turn into unusable, multiple lobes with deeper nulls. It would seem logical that more wire in the air is a good thing, but it must be carefully put in phase to become additive and show gain. Multi-wavelength loops are not a good way to phase wire for controlled directional gain.
If you are looking for gain and obviously have the room, put up a pair of phased, driven dipoles and rule the whirl..
T