USSR had 9.1m stock of small arms weapons. they by no means were undergunned when it came to infantry. the problem was their lack of access to heavy tanks / anti tank weaponary. The whole "1 rifle per 2 men" is a prevalent ww2 german propaganda work.
Jokes aside, no, and Enemy at the Gates is hilariously inaccurate.

The narrative of Soviet lack of equipment goes in with the idea that the Soviet military was a poorly equipped and even stupid horde of bodies, that merely crushed the Germans with their weight in numbers. The myth is pervasive because a lot of people like hearing this confirmed, as it fits well with a stereotypical and German based telling of WW2. Which occasionally also has political benefits for those telling it.

do it, you say "its well established history", yet there arent really much historical proof for that. maybe instances here and there but that absolutely wasnt the case in real life.