Earlier quoted context omitted.
Aren't half the UI classes in OSX still prefixed with "NS" for NextStep?
Yeah my understanding is that most of the OS X team were from Next, so Apple definitely got something out of the acquisition
The Objective-C Cocoa APIs are a straight descendant of the NeXTStep APIs, and many NeXT apps would run on OS X with a simple recompile. While there have been many additions since, and the main focus these days is on the Swift language, to the best of my knowledge, you can still take an Objective-C NeXT application and compile it on your ARMintosh and have it run with very few issues.
I was a Mac user from 1989, and I didn't like OS X much at the time. It felt like a completely new system, not an update to what I was used to. Sure, it was better in many technical ways, but it was also a lot more complicated. And it felt different. So there were was definitely a sense that it was really a Mac anymore.
Just about the only technical concession to the old Mac crowd that I can think of was the use of the old HFS+ file system, over NeXT's UNIX filesystem. And I think this was only because there was a transition period of several years where dual-booting was common, even necessary. So you could install OS X next to your old OS 9 system and boot either at your discretion without having to have several partitions. Mac OS9 is very dependent on some features in its FS, so this was the only way to allow a smooth transition. But other than that, OS X was and felt like a new, alien system, even though it did allow for compatibility with many applications.