"We've got a great record here. A lot of our guys, this is their home ground so they certainly love playing here, they love being at home, they enjoy the conditions," Paine said.
There will be a new-look attack with Umesh Yadav out of the series after hurting his calf and T. Natarajan called up as a replacement. India were already without injured regulars Mohammed Shami and Ishant Sharma.
"But for me it's more about coming out and playing my role, and hopefully we can sing the (team victory) song twice and that will top off my milestones."
His likely replacement, rookie Will Pucovski, was ruled out with concussion after being struck on the helmet by a bouncer in a warm-up match last week.
India A made 194 in their first innings of the pink-ball warm-up match in Sydney, before Shami, Jasprit Bumrah and Navdeep Saini skittled Australia A for 108.
Smith has been repeatedly overlooked in leadership roles in white-ball series this year, though coach Justin Langer admitted there were discussions about him potentially replacing Aaron Finch when the limited overs captain was recently injured.