Examples of the latter are e.g. Linux, libc, systemd etc.: All things used during production of the results, but not aimed at producing such results. The former are e.g. Matlab, the Intel MKL, ALPS, TensorFlow or similar tools and suites. A bug in the MKL may make your results wrong, while a but in the kernel will most likely just crash everything. In my experience, scientific results depend on a handful of software packets in such a way, and adding five-or-so citations to a paper is certainly no big deal and would make reproducing the results much easier.
I have no idea where GNU parallel sits there, it probably depends on how you use it – do you schedule your Monte Carlo runs with it or just rescale pictures for the website? Admittedly, it is a very grey area, but I don’t consider a request for citation unreasonable.