I personally wouldn't, but for matters of subjective taste. Firstly, like I said up the thread, the backroom politicking and stuff is the weakest plank in BT and leaning on it in terms of story doesn't do the universe many favors.
Secondly, parking the story in a Solaris setting immediately brings to the forefront one of the contradictions of BT: namely, that BattleMechs are supposed to be rare and hugely expensive. So why doesn't this guy just retire and live out the good life? Why don't the mech-strapped armies just take these things? The real answer is because gladiatorial mech combat sounds cool. In-universe, it is never addressed except to occasionally mutter something about not taking people's mechs just because.
(Meanwhile, mercenary units are said to live and die by their salvage rights, which means they definitely are taking people's mechs. Hmm...)
Finally, I wouldn't watch it because this story, this exact story, was told in the movie Robot Jox.
Because you have an entire innersphere to pay for the combat. You forget they can "pay per view" it to pesant farmers on the edge of the Davion space not just to the locals. If anything the Lore underestimates the money involved with Solaris VII. One would assume the money involved (and espionage) would result in a very high level of technical expertise, resulting in less loss from battle damage than if you were having the same fights in a muddy field on the front lines of a contested planet.