I read Danny Denzogpa's interview recently, he said Jaya was fiery right from her days as a student at FTII.
So it is not just her behaviour after becoming a Bachchan. She is already like that from the beginning.
Danny shared Jaya is too outspoken and even her family sometimes gets embarrassed by her but all in all she is genuine.
I don't think she is ever going to cool down. People like her only grow grumpier with age.
Maybe she is old fashioned type who don't like much media interference like shoving down cameras and mic on stars all the time. Hema and Zeenat also commented on paparazzi's ways once on KWK but they don't show disgust openly.