Soft skills are the kind of thing that tends to be neglected - because they are hard to measure. Worse, some people think they can’t be trained - you either have them or you don’t, especially as they often relate to “people skills.” However, not only are they more valuable, but they’re also called “transferable skills” for a reason - they apply for any job you might have.
They also certainly can be taught and need to be for proper holistic training. Organizations should worry about whether their employees have the proper transferable skills to benefit the company, and they can even sell it to employees as ways to do better in your personal life. Some soft skills training topics for employees can even be taught online, although most benefit from a blended approach.