This answer is based - although I am a software developer - on my experiences in looking at other people's resumes.
Technical CVs tend to be highly technical, and remarkably unreadable to the average person. I think this is because, as technical people, we often just don't understand that the general person doesn't have a clue what we do.
Soft skills, then, while viewed in the technical theater as "unverifiable" are something that a non-technical audience, be it a recruiter or an HR member, can identify and relate to.
This will help you a lot when it comes to job hunting.
More interestingly, putting something like "Likes", and populating it with things that you actually like - say, swimming or travelling or what have you - will also make you a relatable person.
This will, again, improve the odds of you being called in for an interview, all other things be equal.
As to "verifiable leadership" - why not start a local meetup group, or volunteer mentoring children from disadvantaged backgrounds? That way, you can both improve your leadership skills and provide an identifiable and verifiable expression of said soft skill.