The Indian companies had s very hard time getting their EU and American employees to go along with this kind of stuff. From my personal experience in Central America and what I've heard from first person accounts of India and other places in the world, outright corruption and total disregard for safety or QA seems less likely to affect North/Western countries.
I'm trying to phrase that politely, but yes, there seems to be much reason to trust the main name brands over those generic companies.
It seems like they use less Indian plants, and more EU plants, based on some quick searches. But I didn't find a comprehensive list.
But additionally, it's part of corporate culture. In fact, the article I linked to says that Ranbuxy had a manufacturing plant in the US, and that plant ended up making pills containing glass fragments. So it seems more of who is "in charge". That said, I'd trust stuff manufactured by a EU company in a EU location more than manufactured in a less controlled location.
I have noticed that local companies of a global corp will misbehave in incredible ways. And some US companies might not realise just how bad it can get on-site, in country. They are big on deferring things to their local subsidiaries, figuring they know best. For instance, MS has had huge problems with local companies in Latin America. From misrepresenting the success and adoption, to pure outright theft. It's unlikely you'd see the same thing happening on the same scale at MS's North Carolina or Toronto office, for instance -- just because there's a higher chance of someone speaking up.
I'm not saying the US or EU are infallible or better, just that people might not be acutely aware of how "flexible" other countries can be at breaking laws. (And not that I blame "the locals" entirely, the risk/reward is so excellent, in addition to a generally poor background situation, that I'm not sure I'd necessarily do better put in the same position. (Same for crime: If I could pull a gun on someone with low risk of being caught, and make off with several months' salary, it'd be a large temptation if I didn't have steady housing/food/etc.))
Of course, this might be selection bias plus some personal biases I have just poking through.
I'm trying to phrase that politely, but yes, there seems to be much reason to trust the main name brands over those generic companies.