I should specify that it was the Schnellfeuer in particular that inspired some aspects of the Type 80 - primarily with regards to handling and overall form factor.

I don't know if Bilibili is accessible to you, but here's a link. Obviously given this is the equivalent of an old forum post or a blog post it's not sourced, so take it with a grain of salt. I'll translate this section to do with the appearance.

在抗战及解放战争时期，我国最常见的还是“大肚匣子”，那么当时的军队是否会这么认为，像毛瑟手枪这样外形的手枪，自然也是火力凶猛、性能可靠的存在。所以80式自动手枪采用这样的全枪布局，似乎也在情理之中了。

In the period of the Sino-Japanese and Chinese Civil War, the most commonly-seen pistol in the hands of soldiers was still the 'fat-bellied box'. It was a natural assumption for armies at the time to associate pistols shaped like the Mauser with power and reliability. Thus it seems reasonable that the Type 80 adopted a similar form factor.

The Type 80 also uses a short recoil action like the Schnellfeuer, though that's where the similarities end, since the Schnellfeuer uses the same dropping block lock as the C96, while the Type 80 (as far as I can tell, looking at a couple grainy cutaways) uses some form of tilting block. The Bilibili post seems to claim it uses a rotating bolt, which I find dubious.

By the way, aside from the C96-like wooden stock, there was a folding stock. If you're thinking that the shoulder part looks awfully like the hilt of a knife, you would be correct.