We had a Lada 1200 when I was a kid. Mid/late 1970s. The car was a 1:1 copy of the Fiat 127 if I remember correctly. It served my family well for many years, and for us, it was "sort of" rock solid. That a Lada was "rock solid" was in no way the norm. People were saying that we had a Wednesday model, meaning it was assembled on a Wednesday. The saying goes that the quality of cars built on Monday/Tuesday was impacted…
Ladas were common over here until the late 80'ies. They all but disappeared during the 1990'ies. They weren't exactly known for quality compared to Western cars, but they were cheap, and easy to fix by yourself if you were so inclined.
And yes, the story behind the Lada was that the Soviets made a deal with Fiat to acquire an obsolete factory. So the entire factory was dismantled and shipped to the USSR. And then they just kept producing the same model, with extremely minor changes, for decades.