In my humble opinion, if you let white get a draw then it's your own fault. As black you have to play with this in mind. I've looked at one of your games (841545) and I believe you could have won. But instead you took a greedy short-sighted approach instead of patiently encircling your opponent and you let them draw. That's just a statement of fact - it's not meant to be offensive. The important words are you let them draw. It was a draw because you let it happen.

Not accepting a draw would be bad sportmanship. What are you going to do instead - play the game forever? What would that prove? It would say less about the game and more about you.

This so-called "problem" has been raised before. If a solution is required then no single answer has yet been agreed. But perhaps you have a good answer. Do let us know. Meanwhile bear in mind that the "problem" is not a big one. Less than 3% of tablut games are draws.