Forgive me if this ruffles a few feathers, but I do feel like I should share some perspective with context, as I perceive it, after many years working with students of all levels as well as years working in the music industry on a reasonably privileged level.
For hobbyists, amateurs, enthusiasts, normal folks in the music-making community – and eternal love and gratitude to you for keeping music in the world in a meaningful way – it's simply all good. Whatever works for you to learn, grow, and, most importantly, enjoy yourself.
For professionals, or serious students aiming to become professionals: if ears are not thoroughly developed, a career is not possible. Some reading abilities should be developed as appropriate to whichever segment of the industry in which one finds oneself. But if strong aural aptitude isn't developed, there is no prayer of success.
Regardless of how an individual musician learns and grows, music as a thing in the world is an auditory art form. Sure, there are folks working in the industry who do other (visually-oriented) things, like lighting, costumes, set design, etc, but they're not doing the music part of the music industry. The people doing the music part – the players, writers, arrangers, music directors, band leaders, etc – all need to have powerfully developed ears above all other skills. Melody, harmony, rhythm, form, these things need to be second-nature, thoroughly comfortable, easy to hear and recognize and execute and change as needed. This includes musicians in orchestras, concert bands, and jazz bands, assuming we're talking about full-time professional ensembles. You won't be playing in the London Philharmonic if you have trouble recognizing a major sixth vs a minor sixth.
TL;DR: In the world of professional music and professional musicians, ears > everything.