A weave you can see from the doorway

myAudience · AI-generated interior illustration · Original generated illustration; not documentary evidence
Texture has a scale, just as pattern does. A fine weave may read as a plain colour across the room, while a broad woven surface gives a stronger visible rhythm.
Drape a generous ordinary fabric sample over the chair where you plan to use it. Look from close up, then from the doorway. Compare it with the surfaces already nearby so you can see what each contributes.
Check suitability and care requirements before committing to upholstery or a large cover. A fabric that feels appealing in the hand is not automatically right for heavy use. Choose the material for the job as well as the photograph.