Don't find any offense, but why don't you ask at arch?
Hypothetical answer: they will just ban you and remove your message :)

You can't have netctl without systemd. If you "pacman -Rnsudd systemd systemd-libs netctl systemd-sysvcompat
and your system boots then you can say it is without systemd. Who knows how your system boots, do you?

What are you trying to achieve? sysvinit is a dog with fleas, despite of systemd being a bad genetically modified dog.

Arch without systemd has some options, you pointed me to spark but it seems as a dead project, last commit was early 2018, no activity ever since. There is artix with runit and openrc, could be considered as two separate distributions, there is hyperbola and parabola, and there is obarun. None of which use sysvinit, why use something that has known limitations for 30 years.

Obarun now has 5 repositories of its own, and other than s6/66 related packages it has all those packages that are on arch that will not work right without systemd. What makes you think you can just install arch and sysvinit and remove systemd and everything will work? It will not, unless you restrict yourself to console and very basic tools, like links2 for browsing, vi, nano, basic internet utilities ftp/telnet etc.

What are you trying to achieve and how would someone in obarun be able to help you when you don't use obarun?
If you like sysvinit try antix, if you want the latest upstream packages, try antix-sid, it runs wonderfully. The most important package to install in antix is systemd-must-die :)

About a week or two ago someone on reddit's arch board published a short guide on how to use crone to set up jobs in chronical intervals, how to configure and even the exact commands for a few common examples.
Some idiot came out with an attitude of the imperial arch directorate to say why use the complexity (pretty simple really) of crone when you already have systemd providing you ways to do the same. Same class of idiots have also complained of the use of the term "systemd-free", they recommend "without systemd". No, when you look in your bag for chewing gum and you have run out you are "without chewing gum", when you get out of prison without prison guards and dogs running after you, you are "prison free". Big difference.
The sum of the arch packages rebuilt to work without systemd in obarun and artix repositories is indicative of what it takes to be "systemd-free". If I don't like using qalc (qalculator) and remove it, nothing else is affected, I would be "without qalc". Now, you go on trying to be "without systemd" and see how far you go :)

I hope I helped with my fairy (fiery) tails.

It's a funny question but might be asked over and over again by people who become aware of systemd FREE (haha) distros. Your very first sentence is a paradox and it's funny that you ask that way. Arch is not meant to be systemd free at all. It's the complete opposite. Arch is built on systemd, it stands for it, it defends it and promotes it. A wide variety of Arch packages depend heavily on systemd. Now that's not necessarily caused by Arch itself but rather by the developers of the related packages and their choice to implement systemd in some way or another. It's understandable for some developers to choose to do so even more so as systemd keeps growing and providing more and more calls a developer can hook in to. It's just quicker/lazier to access some things that way. It's like Google for Internet. There are a freaking thousand services of all kinds and yet you still use the same Google owned platforms over and over again.
The "freedom" of arch has always been of choice. Although this is also becoming a paradox as systemd keeps taking over control over basic system functions more and more thus reducing your choice dramatically if you decide not to install systemd. (Which really is the niche for Obarun and similar distros - choice)
As fungal said you can still achieve to boot into a basic terminal on such an Arch install and with some more complexity achieve things that today are taken as basic and necessary but anything a little bit more productive will cost you time and effort that people who earn money working on something different than that usually would probably not invest.