It'll also put them in the right frame of mind for the four-day Plunket Shield campaign when it resumes against the Northern Districts Knights at McLean Park, Napier, from January 23.
The other two remaining T20 games are away but will, no doubt, offer similar therapeutic qualities.
To be fair, CD have lost two away games by the skin of their teeth - on the last ball to the Wellington Firebirds on November 22 and to the Auckland Aces in a super over on December 30.
"It is a bit concerning," ODI Black Caps squad member Adam Milne said last night of the prolonged drought.
Yesterday Noema-Barnett won the toss and padded up for a captain's knock of 52 off 36 balls at No 6 while Black Cap Doug Bracewell added 35 off 20 at No 7, including three don't-argue shots over the rope.
Like the rest of the season, the top order have stuttered.
Yesterday English imports Josh Cobb (first-ball duck) and Peter Trego (1 from 4 balls), Jamie How (12/13), Carl Cachopa (14/18) and Kruger van Wyk (10/16) failed to provide a decent platform in what could arguably have been a defendable total of 147-9.
"Wheels got one early [Neil Broom for one run] but we couldn't capitalise on that," said Milne as the Southerners eclipsed the total with 15 balls to spare.
The winning runs came off Wheeler from hybrid allrounder Ryan ten Doeschate hitting a lusty six and four for good measure in the telling over.
The difference was test batsman Hamish Rutherford (29 runs) and Aaron Redmond (32) provided the launching pad so Ten Doeschate (50no/32) and Derek de Boorder (31no/28) had peace of mind to cut loose.
Mr Reliable Marty Kain wasn't spared, going for 13.67 an over although a vociferous caught-and-bowled appeal against Tewn Deschate in the 14th over didn't find traction with the white coats.
Milne, who was 10 not out at No 9 and wicket-less but frugal for 19 with the ball, reiterated the team mantra of a good team but desperately needing a win to get on the proverbial front foot although he did impress the need for the top-order batsman to fire as well.
The 21-year-old speed merchant from Manawatu, who is flirting with the 150km/h mark in the international arena, felt the Stags needed to "stay positive" in a bid to come together a little stronger as a unit.
Former national age-group captain and in-form batsman William Young carried the drinks as CD opted for another bowler in what appears to be a bit of tinkering to get the balance right although Leicestershire county opener Cobb hasn't fired since arriving here just before Christmas.
The Stags were training this morning while Milne was driving to Hamilton to rejoin the Black Caps after "not having played a heck of a lot" but who "offers something different". He will train with the New Zealand team tomorrow.
Rain robbed the right-armer of a start in the washed-out second ODI at McLean Park, Napier, and he got two overs in a 21-over affair in the third ODI in Queenstown.
"It would have been nice to get a full game in Queenstown but I'm pretty happy.
"I've been working on my line and length," he said, after taking three fine catches near the boundary during the massacre of the touring West Indies in Queenstown.
The youngster acknowledges he has a fair way to go but is itching to show what he can offer.