Charitable prediction: It'd only take 1 big name debate to happen for this idea to become viable. Once people know about it, and the most interesting debates get funded, the debate becomes like any other desirable speaking gig: a performance with a big paycheck and audience attached.
Less charitably, however, as soon as Logosive takes off a bit, the existing debating venues (news channels, big podcasts, etc.) can just look at what debate ideas are popular and make them happen, with the promise of a bigger paycheck and a bigger audience.
Can't really find a moat for Logosive here.