Huddersfield, who gave debuts to four players, opted to kick long and put the Wolves defence under pressure but, although those tactics paid off in terms of possession, the scoreboard remained blank for 25 minutes.
Wire appeared rusty, with several passes going astray and also lost their captain’s challenge inside 10 minutes with a failed attempt to overturn a Giants seven-tackle set after George Williams’ kick in-goal was caught by Lolohea.
It was the Kiwi stand-off who opened the home side’s account for the season, collecting a looped pass from Zac Woolford and bursting clear to dive over on the right, with Danny Richardson adding the extras.
Huddersfield’s captain’s challenge also failed after they were penalised for a steal close to their own line – but the visitors failed to take advantage, choosing to tap and run only for the move to flounder with Stefan Ratchford’s knock-on.
However, the visitors hit back with the final action of the first period, retrieving possession after Lolohea’s pass thudded off Greenwood’s chest and Lindop held off his man to score in the corner.
Although Ratchford’s awkward conversion attempt drifted fractionally wide, the try itself was enough to give Warrington a boost and they carried that momentum through into the second period.
Dufty fed Ashton to exploit gaps in the Huddersfield defence and put his side in front for the first time, with centre King scooting over soon afterwards to stretch the Wolves’ advantage to 14-6.
Sandwiched between those tries, the Giants were unable to take advantage of Greenwood’s 40-metre charge following an interception – but the second row did later narrow the deficit, bundling the ball over the line for a try confirmed by video referee Aaron Moore.
Huddersfield’s hopes of a late comeback never materialised, though, and Dufty made the points safe with five minutes remaining, following his own close-range kick through to score.