British commentator Martin Brundle said the Italian marque's heavily-degrading 2012 product, so difficult to keep alive and in the narrow performance 'window', is overly dominating the season so far.
Also critical after Bahrain, where tire performance fell away rapidly in the desert heat, was Michael Schumacher, who told reporters he wanted to talk with Pirelli chiefs about how to improve the situation.
Faced with that sort of criticism on Sunday, Pirelli's motor sport director Paul Hembery said on Twitter: "At the end of last year we had huge criticism for conservative choices and races were boring.
"Make your mind up. We are doing what is asked."
Hembery also argued that how teams tackle their tire strategies will continue to play a big role for only "a few more races, then like last year all change as they get used (to the tires)".