I would hope so Wiki says the Germans had control of 45,000 Italian troops up there. https://en.wikipedia.org/wiki/National_Republican_Army
The Axis had 21 much weaker German divisions and four Italian Esercito Nazionale Repubblicano (ENR) divisions with about 349,000 German and 45,000 Italian troops on 9 April. There were another 91,000 German troops on the lines of communication and the Germans commanded about 100,000 Italian police. Three of the Italian divisions were allocated to the Ligurian Army under Rodolfo Graziani guarding the western flank facing France and the fourth was with the 14th Army, in a sector thought less likely to be attacked.
I am trying to find out just which armor or vehicles they used. Did they use their own or German?