Is tri axial loading the carabiner an issue...
Is tri axial loading the carabiner an issue with this harness? I feel like the lack of a belay loop encourages this and I am concerned about the safety aspect.
Yes, and for that reason, many gyms won't let you use it. This harness is designed for tying into directly, and not intended for multiple falls and prolonged loading. It's more suited to ski mountaineering and other light uses where you're not likely to take a full factor fall.
If you're looking for an inexpensive harness with a belay loop, look at the BD Momentum AL. I've had mine a little over a year and I love it. Very comfortable and safe.