It will be slower than a Ducati, don't see how that saves time if you are parking in the same place.

Grabbing a backpack and riding a bike that you already own costs nada.
If you don't have a very good lock that will cost $.
If it's dark when you start or come home, lights F/R cost $.
It rains, fenders & rain kit cost $.
Carrying a backpack is sweaty & fumbly, a rack & then bags cost $.
After "that talk" from the boss a gym membership for showering costs $.

The monetary argument makes as much sense as buying a motorcycle to "save gas". I've been riding motorcycles since the '70's, they are a $ pit. Fitting out a dedicated commuter bike is an expense that will take time & considerable use to pay for itself.
Do it because you enjoy it, a week of "test" commuting with minimal investment in commuting kit will tell the tale.

-Bandera