The other danger for New Zealand is the spur the result has given to England's confidence.
The two sides meet again in a pool match in Cardiff next Sunday.
New Zealand gave away 76 runs in the final four overs assigned to death bowlers Mitchell McClenaghan (two), Kyle Mills and Tim Southee. A manageable chase of 250 (New Zealand finished on 253) was suddenly beyond them.
McCullum said the new ODI rule specifying that at least five fielders have to be inside the 30m circle at all times had a significant effect.
"As a result destructive players like Jos Buttler [who hit 47 off 16 balls] have more impact, especially in the latter stages. His ball striking was great and his options were good getting away early lap shots. That made our bowlers wary of going for yorkers which they used to bank on."
New Zealand's chances were also doused by the fall of four wickets for 26 runs between overs 16 and 25.
McCullum said that at least their tail had a chance to wag - brother Nathan and Kyle Mills made 28 and Tim Southee 15 - but it was hardly ideal.
"If you strip it right back, we were excellent for 90 per cent of the game," McCullum said.
"But I'd have much preferred to chase it with one wicket down. I guess everyone's had a bat, but we weren't able to contribute with enough partnerships. Fortunately we fed off the batting of Martin [Guptill] and Ross [Taylor] during the series."
Taylor's 71 was his third consecutive ODI half-century and underlined his batting leadership. Guptill's contribution was simple. The man-of-the-series averaged 330 after being dismissed for the first time in game three for 38.
The New Zealand fielding ranged from sublime - including two Guptill runouts - to sloppy with misfielding and spilt catches.
"A couple of times it got scratchy," McCullum said. "I can't fault the effort. The execution was sometimes off but overall it went up a level from previous series."
Matters might be helped by two days' rest.
McCullum suggested Southee might need to recover further after being rested for the second match. After an outstanding test series and first one-dayer, his bowling (nine overs, none for 65) and fielding were erratic in Nottingham.
"Tim had an off day," McCullum said. "But he's been brilliant for us for a long time and bowling exceptionally well."