On Named Weaponry and the Importance Thereof

Having started re-reading the Symphony, a line in A Rose for the New Year struck me. Corwin says "Any weapon of any significance will have a name." Obviously, Stick is named, and is of significance, but does his Mauser have a name?

On Corwin's Portfolio

In Ceremony and Celebration, Odin announces the newly-ascended Corwin as "Lord of the Great Machines". Elsewhere, he is commonly referred to as "The Norse God of Mecha". Obviously, with his mother being who she is, and his conventional training, the waters are somewhat muddied, but he seems to be able to leverage his divinity over many things, outside of mecha, like the Valiant's engines and some other things I'm forgetting.

So, what falls under the heading of "mecha" and "great machines"? Would he, for instance, be able to cripple any class of Destroid with a thought? What about battlemovers? Veritech fighters? Cybertronians?

My apologies if I'm examining too closely, I'm one of those worldbuilding/background types.

Thanks in advance.