No, their accent is quite clearly identifiable as Kiwi to us Brits.
They're easy to understand, they enunciate when they speak but the intonation and inflections and general sound is very different.
As for "a British accent". Would an American say there's "an American accent"?
There is no single British accent, we have, English, Scottish, Welsh, Irish and others with their own languages (and thus accents), then in England, we have widely varying accents, many clearly identifiable to a Brit; Newcastle (Jordie), Birmingham (Brummie), Liverpool (Scouse), London (Cockney), Essex, Yorkshire, etc.
I think when people say "British" like the article in OP, they really mean what we call "posh". We do it ourselves at times, but most people don't actually speak that way.
> As for "a British accent". Would an American say there's "an American accent"?
Of course, just the same as British. "American accent" for foreigners usually means "Southern Foghorn Leghorn" e.g. Daniel Craig in Knives Out, but can also mean New York, Boston, Chicago, Dakota (aka Fargo) or some other variation. To Americans it really means "unaccented" Midwestern English, aka broadcast (radio or TV) voice.
Americans know "American accent" from "British accent" by the same standard, the British "unaccented" voice is called RP and sounds posh or overly fancy to most Brits, but Americans don't distinguish RP from Cockney, Yorkie, Jordie or any of the other variants. RP is the broadcast voice.
To be clear: I used to be the same. "British" was one accent that Michael Caine, the Queen and Chris Ramsay all spoke. (For Americans: "Robert DeNiro, Harrison Ford and Dolly Parton have one accent" is equally wrong and hilarious.)
They're easy to understand, they enunciate when they speak but the intonation and inflections and general sound is very different.
As for "a British accent". Would an American say there's "an American accent"?
There is no single British accent, we have, English, Scottish, Welsh, Irish and others with their own languages (and thus accents), then in England, we have widely varying accents, many clearly identifiable to a Brit; Newcastle (Jordie), Birmingham (Brummie), Liverpool (Scouse), London (Cockney), Essex, Yorkshire, etc.
I think when people say "British" like the article in OP, they really mean what we call "posh". We do it ourselves at times, but most people don't actually speak that way.