Pretty much. Soviet and Eastern Bloc shooters used what the government told them to or risk a trip to a labour camp. In that era no one used an MT8 who didn't have to. After the fall of the Evil Empire shooters there had the freedom to choose other guns most of them did.
If the design and workmanship were everything the OP claims they were then someone else would still be making them now. Nothing wrong with the gun however and the OPs are very nice. It is quite obvious he's very proud of them.
Perazzi won the Soviet contract (to supply the entire Soviet team) before the Berlin wall fell, well before the '92 olympics. These guns lost even with state backing, and suffered subsequent to the collapse of USSR due to lack of state support.
Also, I believe DMSTER's point was that Beretta was making them now

I haven't an opinion on that yet.
Yes, this what been said: after 1990s TsKIB was almost destroyed, production and quality fell, and since this time Russian team started to use Perazzi as almost everyone

However, and for some reason overall competition's results much lower now for Russia too... regardless of the very high shooter's ranks.
I would quibble about Russians not performing at trap at the Olympics recently, Alipov won trap gold in 2004, took bronze in 2008, they've also had many good showings at World Cups and European Championships.
Also, it should be noted how well former Eastern bloc countries are doing (the competitors who would have been lumped into competing for the USSR previously): silver for women's trap for Slovakia in 2008, bronze for women's skeet in 2004 for Azerbaijan, men's skeet gold in 2000 for Ukraine etc. Also let us not forget 2008 gold in trap for Kostelecky (Czechoslovakia), and any East Germans.These should be lumped into the Russian totals if we really want to compare to Soviet era standings. I haven't even looked at double trap (because no one shoots it).
edit: reread DMSTER's point, not sure how to look at stats of any but the highest ranked russians. In terms of medals counts, the former soviet republics are basically still where they used to be, but I don't know the state of the sport within each country. In any case, the MT series of over unders were never widely available, you had to make the national team before you were given one (as per
http://www.clayshootingusa.com/html/archive/feb_mar07/Soviet Star.pdf) so the loss of the MT guns should not have affected the overall sport as much as, say, the collapse of the Soviet Empire.