Hi, Sea. Welcome to the forums.
In a situation where two people relate monogamously to a third individual, that's a V with person at the center point of the V being polyamorous, the other two remaining monogamous.
If you love Sweetie just as much you love Tommy, your situation may be more of a triad. Whether sex is involved or not, IMO. Like an equilateraltriangle, each person in a triad relates in a loverly way to the other two, and no one is mono.
Of course, these kinds of labels and diagrams and such are just tools to help us understand and communicate about ourselves and our relationships, and as such, one size does not fit all and your mileage may vary. But I hope this helps you.