Michael, taking your question at face value, the only way a cheaper SG would have the same specs as a more expensive one is if one was over (or under) priced.
Forgive me for attempting to interprete your question, but it appears that what your asking is - "can I get better results with a more expensive gun?".
The answer is yes - but there is a bell curve in shooting results. The person who is breaking high 90's in trap has the basics down - but something is holding them back. It may be the equipment or a couple of training tips/suggestions. Frankly, us Americans tend to address training problems by buying equipment, about 90% of the time.
I learned skeet basics from a guy named Fred Misseldine at Sea Island Georgia. The first time I met him, he smoked 24 clays and apologized for the 25th - it broke, but was not smoked. He was shooting a .410 pump (Win 42?). Lil Stephenson is a friend who also habitually cleans house - her favorite SG is a 20 Ga. SxS - AyA I think. Lil is over 70 years young and takes no prisoners.
One of the IPSC champs compared a non-tricked out 1911 with a fully tricked out 1911. It saved him some small number of seconds on a given course of fire - enough to matter to him, but way beyond what us mortals can expect. (Rob Latham)
On one hand, it ain't the arrow, it's the indian - but once a certain level is reached, you need better equipment. I will never have the desire nor the genes to match these folks (or money) but until I start outshooting my hardware, I'll stick with what I have.
HTH!
Giz