Meech had to spring into action and drop their kite about 100m short of the finish line in the second race after the wind turned more than 90 degrees.
"It was trying to shift right [into a sea breeze] in the last race and then it finally made quite a big jump right and the last section of the downwind turned into an upwind, so that's always interesting when that happens," Maloney said with a smile.
The pair escaped largely unscathed but Sam Meech wasn't so lucky in the only Laser race of the day.
"I was going really well in the race but just had a nightmare on the outer loop," he explained. "I was about fifth and lost a few boats on the run and then the wind died out.
"On the last reach I was just about to cross the finish but the boat in front of me stopped and I clipped their stern so I had to do a 720 on the finish line. It went from being a really, really good race to not such a good race."
That race, though, is now Meech's discard for his worst result so it means he's still leading after the second day but there is a bit of a logjam at the top with nine boats all within nine points of each other.
Burling and Tuke are also in good shape in the 49er on the back of a blindingly good start to the regatta yesterday, despite carding a 13th (their discard) and ninth in Sunday's two races.
"It was a tough one for us today," Tuke explained. "We made a few too many mistakes. We had two good starts but just made some unforced errors and couldn't quite piece it together. It's a bit disappointing but we will bounce back tonight and have a good debrief and be ready for tomorrow."
Burling added: "I think everyone has been battling away for these first couple of days. You make one mistake out there and you get put a long way back. It's just going to be who sails the best over the next two days.
"You can get a bit of anything [in Enoshima]. It's a venue that's shown you can get beautiful sailing, like at the 470 worlds last week or the first day of the event here, or you can get offshore or light sea breezes like this, or even pre-typhoon [winds]. There's a lot of different categories and you just have to be ready for anything."
Andy Maloney is the next best of the Kiwis in ninth in the Finn, Micah Wilkinson and Erica Dawson are 16th in the Nacra 17 and Paul Snow-Hansen and Dan Willcox 19th in the men's 470.
New Zealand results and standings after day two of the Olympic test event in Enoshima:
49er (21 boats)
1st: Pawel Kolodzinski / Lukasz / Przybytek (POL) 2 4 (7) 2 3 - 11 points
2nd: Peter Burling / Blair Tuke (NZL) 3 1 1 (13) 9 - 14 pts
3rd: Benjamin Bildstein / David Hussl (AUT) 4 (19) 6 3 5 - 18 pts
49erFX (23 boats)
1st: Saskia Tidey / Charlotte Dobson (GBR) 1 (4) 1 2 2 - 6 pts
2nd: Martine Grael / Kahena Kunze (BRA) (5) 2 4 5 1 - 12 pts
3rd: Helen Naess / Marie Ronningen (NOR) 3 8 (9) 1 5 - 17 pts
4th: Alex Maloney / Molly Meech (NZL) (15) 7 2 3 6 - 18 pts
Laser (35 boats)
1st: Sam Meech (NZL) 1 2 (13) - 3 pts
2nd: Herman Tomasgaard (NOR) (9) 1 3 - 4 pts
3rd: Jean Baptiste Bernaz (FRA) 2 3 (25) - 5 pts
Finn (22 boats)
1st: Giles Scott (GBR) 1 (6) 2 - 3 pts
2nd: Zsombor Berecz (HUN) (3) 1 3 - 4 pts
2nd: Nicholas Heiner (NED) 2 2 (7) - 4 pts
9th: Andy Maloney (NZL) 7 8 (9) - 15 pts
Nacra 17 (21 boats)
1st: Ruggero Tita / Caterina Banti (ITA) 1 (3) 1 3 2 - 7 pts
2nd: Ben Saxton / Nicola Boniface (GBR) 3 2 4 4 (10)- 13 pts
3rd: Santiago Lange / Cecilia Saroli (ARG) 5 6 2 (11) 1 - 14 pts
16th: Micah Wilkinson / Erica Dawson (NZL) 20 15 14 8 (22 UFD) - 57 pts
Men's 470 (22 boats)
1st: Jordi Xammar / Nicolas Rodriguez (ESP) 1 1 (4) - 2 pts
2nd: Mathew Belcher / Will Ryan (AUS) 2 (3) 3 - 5 pts
3rd: Anton Dahlberg / Fredrik Bergsrom (SWE) (5) 2 5 - 7 pts
19th: Paul Snow-Hansen / Dan Willcox (NZL) (20) 14 17 - 31 pts