This is more a matter of corporate technologies and design philosophies than those of the blocks who give the corps their "flags of convenience".Are there certain technologies or design philosophies that each of the three blocs are known for?
Equipment is TL9-10. TL10 is new - only from the last 15 years. There's a lot of TL9 stuff laying around.
Zhang-Markov dominates the UN market. Its technology is reliable and no-nonsense. A lot of heavy gear, industrial design focused on getting results, even if the human engineering elements are lacking.
The AF's giant is Iron Star Enterprises. Its technology looks better than Zhang-Markov technology but is often somewhat less robust - and is typically more expensive.
Two major players compete over the IC market - Royal British Interstellar Company (RBIC) and United European Minerals (UEM). RBIC has good human engineering; UEM, a mining company, has robust industrial products which are easier to use but more expensive than Zhang-Markov ones.