These two franchise base unions have strangely not played since 2012, so Otago regained the Mike Gibson Memorial Trophy.
A surfeit of possession in the second spell told for Wellington, and they secured the bonus point.
Otago continued where they left off against Auckland on Sunday. The cleaned rucks, made their tackles, ran hard and generally played with the sort of intensity you don't expect from the lower reaches of the Championship table.
No 8 Mika Mafi powered over for the first try, while Faddes pounced on a loose Cory Jane pass for his five pointer.
The former All Black, who was at fullback, was already in credit, though, via a sweet flick pass to set up his blindside flanker Vaea Fifita.
Another former All Black, lock Jeremy Thrush, was heavily involved in an industrious Wellington pack effort.
The Lions hauled themselves back into the contest right on halftime when prop Jeffery Toomaga-Allen scored to reduce the gap to five.
There was a plenty of niggle among the packs.
Wellington have nine days until their next outing, at Waikato on Sunday week, while Otago are at home to Southland on September 26.
Wellington 36 (Jeffery Toomaga-Allen 2, Vaea Fifita, Ardie Savea tries; Jason Woodward 2 con, 4 pen) Otago 37 (Matt Faddes 2, Mika Mafi, Naulia Dawai tries; Peter Breen 4 con, 3 pen) Halftime: 18-23