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I agree with you on few points still it's going to be interesting Uzbekistan is now one of the good sides in Asian region and things are clearly favouring them for having good results in future because they are having good skills and talented players.
Recently few players joined big clubs which give them good boost still need them to have good performance against top teams in the future, but their recent performance is not bad at all currently they are ranked 66th in FIFA rankings, but I am sure this is going to be improved with they are having strong structure which will help their youngsters for having good results. Difference of quality is huge but still with quality and consistent performance few teams can do much better which will give them confidence for big events like FIFA World Cup in the future.
Recently a few players joined big clubs? It's possible that I fully missed that of course, but which players are you talking about and what clubs are they playing for today? I am not aware of any player from Uzbekistan playing for a big club. Very few have made it to the European top leagues as far as I know and if they made it there, they didn't play for the best clubs. I am all ear to learn from you where those players are now at.
Well, just last January Abdukodir Khusanov joined Manchester City from Lens for over 40 million euros, that's a lot of money. In Italy there is Eldor Shomurodov, who player for Genoa and now he is with Roma. These two for sure are the most famous ones; many others still play in Uzbekistan (Pakhtakor especially) and there is someone in Turkey, Russia, and the Middle East.
I remember that in the late '90s / first '00 they the most famous players were Geynrikh and, especially, Shatskikh, which was a legend. My team, Juventus, at that time had Zeytulayev but he didn't really play. Probably the majority of players are not very famous but this team is better than ever, their football movement has grown a lot.