Yeah Pakistanis won't get accepted sadly, I can remember one of my friends that was born and grown up in UK , his company was going to India for a meeting and everyone's visa was accepted except his because he was Pakistani origin.Pakistani Visa Options:
1- Pak Passport - Visa Process can take upto 3 months
2- Dual National - Have to apply with Pakistani Passport - Visa Process can take upto 3 months
3- Pak Origin- Visa Process can take upto 3 months
Most people end up getting rejected (95% cases)
The sponsor also have to go through security checks (verify yourself, bring your neighbors) blah blah blah :/
No E-Visa, No Special Visa, Nothing! WORLD CUP, my arse