> Is there such a thing as a Unix “design and architecture” though?
I think so, absolutely yes.
Internals of kernel are largely irrelevant, I would submit. That's not visible to the user. Minix 3, Darwin atop XNU, HURD, doesn't matter: boot it in single-user mode and they all look much alike. Cryptic little terse commands, all in lower-case, with single-letter switches after `-` and these days often full-word ones after `--`. Lots of cryptic little plain-text config files, both in a global directory (usually in `/etc`) and in the user's home directory (usually under `/home`). No drive letters or indicators, one global filesystem, directories separated by `/`.
Then look at the things that are only pretending to be a Unix, from NT to OpenVMS to z/OS, and there's a totally different shell or set of shells, there are drive indentifiers and maybe directories, maybe not, with who-knows-what as the delimiter. NT has "real" internal identifiers mapped to Windows-like ones and to Unix like ones, these days via at least 3 entirely separate subsystems: the original POSIX subsystem, much enhanced; and WSL 1, with code from the Windows Android runtime emulating a Linux kernel; and WSL 2, using Hyper-V to run a real kernel in a special porous VM. (Talk about baroque!)
I think it's very clear which of these are UNIX-like designs, with a Unix-like filesystem and a Unix-like shell and so on, and other ones, where but it's a (maybe option) extra, it's not the real underlying OS and you can quite possibly ignore it and never see it, or even remove it, and you can't use the Unix-like personality to run and administer your machine.
Yes, I think it's a real and important distinction.
QNX, say, is Unix-like. VMS, say, is not. Even if one has better compatibility with the notional "real thing" than the other.