So he didn't actually make a point, just kinda showed a load of photos and then said "well it speaks for itself."
Of course if you give two people of different skill the same tools then the one with the better skill will typically produce better results. That's a given and is the same in any medium or area of interest.
However the "how good a bit of gear do I need" is an interesting question sadly answered very poorly by most because they often go to the silly extreme end. "Well if I compare my 0.1mp phone camera to a 1bazillion mp large format camera..." Which honestly doesn't really help anyone come to any sensible conclusions at all.
In general better gear will produce better results, even if just at a purely technical level. Furthermore, as Derrel points out, some times gear of a sufficient standard does actually help a person produce better results from a skill point of view. A DSLR compared to a phone, lets you control settings easily thus meaning that those theories and ideas can quickly start to make sense. That the beginner can now make use of those tools and develop into a better photographer - whilst with a camera stuck in full auto or with slow to change settings through menus, they were left mostly with just composition and trying to secondguess how the camera would auto the scene.
Generally speaking my view is that you should always aim to have equipment that you can grow into rather than gear you will quickly grow out of. A machine won't improve over time, but a person can; so if you've very low end gear you might find that you quickly outgrow it if you're a keen photographer and study/practice a lot.
Of course budget then comes into it and that's a choice you really have to make on your own, though you can base it on your intentions. Some ideas of photos require certain types of gear to achieve; but outside of that you've got to take your own finances and interest into account and decide on what level you can justifiably afford.