The resume is not a single statement of your career. The closest metaphor is a personalised advertisement flyer to a business for the position. In other words, would showing social links on your resume assist the 'customer' to want to hire you?
If I was hiring a web developer; Yes, it would help to put it on the resume because there may be conflicting account names or save me some effort because I'd check anyway.
In fact, put down hobby projects (eg github) as it will show them that you're also active with source control, delivery, etc.