Oh yes, that sounds like a plan.
With the money that you would have to fork out for the 'strada, you could get 17" rims laced onto your hubs, fit sticky tyres and even give the suspension a real workover with spring rates & revalving etc. The TL motor must have a lot of tuning potential as well, although that's probably missing the point for a winter bike. Isn't the smart money always spent getting the chassis, suspension and brakes well and truly sorted before going for more power?