Does the specific course or the general management course have more weightage when it comes to employability?

A specific course usually carries more weight for employability if it directly matches the job role or industry you want to enter. Employers often prefer specialized skills and relevant expertise for targeted positions.

A general management course is better if you aim for leadership roles or want flexibility to work across different industries.

Since you already have a strong academic background and work experience, a specialized course related to your career goals will likely boost your employability more. If your goal is broader business skills and leadership, general management is a solid option.