That's fine. You can play a fighter, or rogue, or barbarian.
And people who want a complex warlord character can play a bard.
And where are the classes for people who do not want to be a spell caster, but DO want to manage half-dozen opens each round?
Generally people want either complexity or non-complexity and magic is irrelevant. I don't imagine there's many people who want to play a class that's a lot like a spellcaster but just dislike magic.
If you hate magic as a concept, then D&D is probably the wrong game.
And simple martial classes already exsist in the game.
None that heal.
There's a gap for the warlord concept, a gap for a martial healer, and a gap for a simpler healer class. Why not marry the three?
Then the solution is to make a simple caster.
Priest:
Level 1: Healer: You gain a pool of healing equal to 2d8 per level, you can use as a bonus action. You gain sacred flame and light cantrips.
Level 5: Continual Blessing: As an action, select 3 people. They gain the benifits of the bless spell until you take a long rest, or until you use this feature again.
Level 6: Divine Sustenance: Once per day, you can cast create food and water.
Level 9: Sub-class choice.
*When you roll initiative, you can cast Haste on one creature.
*When you roll initiative, you can cast Spritual Guardian.
Level 11: Improved Healer: Increase your healing pool to 2d12 per level.
Level 20: You can cast true resurrection without any material components. Once you do so, you cannot do it again for a week.
etc...
Because then we're making
another new class.