All true, but note that BSD introduced, and both Linux/glibc and Linux/musl support, a syscall(2) wrapper routine that takes a syscall number, a list of arguments (usually as long's), and performs the syscall magic. The syscall numbers are defined as macros beginning with SYS_. The Linux kernel headers export syscall numbers with macros using the prefix __NR_, but to match the BSD interface Linux libc headers usually translate or otherwise define them using a SYS_ prefix. Using the macros is much better because the numbers often vary by architecture for the same syscall.

See https://man7.org/linux/man-pages/man2/syscall.2.html