The article seems to be saying that there was a 16,000 person registration toward the GOP in that short period in July.
But... the the total advantage the GOP has had since 2020 is far greater. So yes... I think I did read it.
That time period does certainly allow for the counting of many democrats who could have switched to vote for Haley.
I certainly expect Trump to win the state handle, but not all of those registrations are genuine. Either way, this is obviously a great trend when looking at what happened in July, where there would be no reason for democrats to swap over.