Ah, sorry, here in german speaking areas we call what you are calling Shawarma Kebap, no skewers, at least not when served:

The well roasted surface gets sheared off.

I only ordered a Kebap Pizza once and it sadly was a pretty dry affair, might be that i just had bad luck with the restaurant. Many of those restaurants are "Jack of all trades, master of none", offering a wild mix of Pizza, Indian Food, Turkish cuisine, and some local foods, leading them to mix and match as they go.