I don't think Levy ever 'wants' to sign a player. He always prefers a DoF for that - it's the managers like Poch that don't. Even when we didn't have a DoF on paper Levy still used ex-pros like Pleat as makeshift DoFs to advise on transfers.
I understand Paratici/Levy here. Conte is a famously short-term manager, even by EPL standards, I don't think you can run a club with transfer policy solely on that - you need some long-term planning bridging managers.
Conte should accept this but is too stubborn and now Spence is caught in the middle. I don't know why we didn't just loan him back somewhere if Conte had no interest in playing him.