"It's not a figure but there always used to be a bonus to come back here for the three," he said, referring to the final leg, the Livamol Classic on October 1, of the New Zealand Spring Racing Carnival trilogy in Hastings.
"No one has done it. No one has won the three races since the carnival's been going."
Six-year-old Kawi sits among the class of Starcraft (2004) and Seachange (twice in 2006-07) who won the first two legs but came up shy in the final one.
Consequently Sharrock was swaying more towards Australia.
"It would be great if someone puts an incentive bonus into the race for the crowd and to have the horse back here," he said, leaving it "up to the powers that be".
"But I think I'm leaning towards Australia."
Sharrock said the ball was in the court of the New Zealand Thoroughbred Racing (NZTR).
"He [Kawi] deserves a chance so we might have to go."
He and his owners have their eye on the $2 million Emirates McKinnon Stakes over 2000m in Melbourne on Saturday, November 5, and the Perth group one double of the $1m Railway Stakes at Ascot racecourse on Saturday, November 19, over 1600m and the $1m weight-for-age Kingston Town Classic over 1800m on Saturday, December 3.
"They [Melbourne and Perth] are very keen to get us there and they will help with travel and accommodation so they really want me there.
"Like I say, I'm not knocking New Zealand but you've seriously got to look at the owners and the money."
Reflecting on the Saturday heart stopper, Sharrock said it was "a bit of a toughie but we came away all right".
"We got flushed very wide without cover [so] it took all his guts to get home, to be really honest."
Sharrock unequivocally put it down to the horse's class with no slight on Innes.
"He [Innes] knows, mate, he did all he could but it was an ugly ride and he'll admit that to you himself.
"In those circumstances that's all he could do."
Sharrock had envisaged Julinksy Prince (Johnathan Parkes) and Authentic Paddy (Robert Hannam) coming across from barriers 12 and 13, respectively, leaving Kawi and Innes one off the fence in fifth place.
"We ended up three wide and no cover in its entirety ... so it was pretty hard."
However, the New Plymouth trainer had no doubts about his horse's mettle.
"He's a gladiator. He just wants to win his guts out.
"They had him at the 300 and they definitely had him at the 100 and he fought back to win.
"Only goods horses can do that. He's a good horse."
It didn't escape Sharrock's attention that Julia Ritchie and Steven Ramsay-trained wild card Rasa Lila, with Sydney-based Kiwi jockey Jason Collett in the saddle, was keeping them honest.
"That's a good mare and that came up close too, very quickly, but she didn't go past."
Mime (Michael Coleman) was a long head behind Kawi and Rasa Lila surged home half a head later.
Sharrock said Kawi rode to victory four wide in the first leg, the Makfi Challenge Stakes on August 27, and on Saturday he emulated that feat three wide.
"It would be nice to look at the rail at some stage and make it a shorter trip rub so, no, he's [Kawi] done a terrific job."
It was Kawi's fifth group one victory this year even though the punter who placed $40,000 on the gelding would have kept his heart pills closer than his wallet.