Tony Vargas
Legend
Ki is explicitly magical in 5e, so even the open-hand Monk is out.Having a party with no magic at all (given the high number of divine magic users) would be astonishing. You would have the barbarian, 2/3 of the fighter archetypes, 1/3 monks, 2/3 rogues and... that's it.
All the non-magic-using sub-classes are DPR types. Raging barbarian, sneak-attacking rogues, multi-attacking fighters.Could make an interesting party - 1 barbarian, 1 fighter,1 monk,1 rogue. Lots of butt-kicking
The world has produced a plethora of wizards, witches, sorcerers, priests, shamans, psychics & c, all in a universe where magic doesn't even exist, so it's not exactly hard to come up with the archetypes, just hard to present them as something viable in the context of D&D, where magic has mostly been required (if not through class features for every PC, then through magic items, or cooperation between magical and no-magical PCs) for success.It is true that there are a lot of options with magic but players will still tend towards what they like as opposed to taking options simply because they exist. It's hard to make a non-magical wizard as an archetype and it's easy to make a magic using fighter so I think that illustrates why there would be more magical options than non-magical, at least at a basic level.
But, as far as number of presented options go, it speaks to how close you can get to a desired concept. The more options, the more likely you can pick an option that's near to what you had envisioned. If you can't play anything close the non-caster concept you really wanted, but can get very close to a caster concept you were also considering, you might well decide to play the latter. The more so if the closest non-caster PC choice fall short of whatever inspired you, while the closes caster choice exceeds the range of abilities that evoked that concept.