After shaky starts both hit top gear in the semifinals, with Pakistan easing to a seven-wicket win over New Zealand in Sydney and England humiliating India by 10 wickets in Adelaide.
Buttler feels other teams should seriously look at exploring different coaches option.
New Zealand are still top of Group 1 on superior net run rate, followed by England and Australia though all three are level on five points.
Buttler said a win against leaders New Zealand on Tuesday would leave them with their destiny in their own hands when they face Sri Lanka in their last game.
Indian all-rounder Deepti Sharma had courted controversy after she ran out England's Charlotte Dean in the third ODI last month.
There has been no end to the debate in the aftermath of the third and final women's ODI between India and England where Deepti Sharma ran out Charlie Dean to complete clean sweep for visitors.
India chased down a paltry target of 111 inside 19 overs.
The visitors recorded a 49-run win at Edgbaston to take an unassailable 2-0 lead in the three-match series.
Jos Buttler, Dawid Malan and Phil Salt hit centuries for the visitors.
Ashwin and Buttler will play for Royals, while Hooda and Krunal were bought by Lucknow Super Giants.