Human Resource Management is a vast term, and recruitment is just a part of it. As per your quotation, you are working with a consultancy in the field of recruitment, so your experience will count in recruitment only, provided that it's on a direct recruitment basis and not on hardcore calling and meeting monthly targets. The recruitment field is a flourishing one, and nowadays, many MNCs also have profiles for recruitment only.
Job Responsibilities of an HR Generalist
The job responsibility of an HR Generalist is more extensive than that of recruitment; it involves almost every part of HR, and for this, one needs to have some experience in the same field. Furthermore, in consultancy, there are different segments like staffing, recruitment, and payroll management (outsourcing), so you can apply in any of the options according to your interest area and career plans. Hopefully, it will be good for your aspiring HR generalist profile. All the best!