An enlarged Kriegsmarine still needs a support system

Could the Kriegsmarine fight a Jutland-scale action if it suddenly gained a fleet comparable to the prewar French and Italian navies?

It could force that kind of battle, but sustaining the enlarged fleet would be a logistical nightmare.

The premise gives Germany a fleet comparable to the combined prewar French and Italian navies. That would make a major fleet action possible in the scenario. Supporting such a suddenly enlarged force would still be a logistical problem, so the extra ships do not settle the outcome by themselves.