Not sure if this is the case for India, but I've experienced similar situations for other countries, but the 'scam websites' actually provided a real service - if you needed some ultra-urgent processing (like you only realized you needed a visa to this country before boarding a flight, once you were already at the airport check-in...) they were able to provide 30 minute approval, whereas the official site's accelerated processing was 24 hours.

So obviously the only way they could to this is with government contacts meaning the government themselves could already do it, but a lot of immigration stuff everywhere is full of people taking kickbacks.

No the scammers were slower than the official Indian website.