I'm not sure of the laws in NM, but here is Florida if you are the "qualifier" for a contractor, you are personally responsible for the quality of the work performed and you are supposed to "supervise" the electricians. In practice, you would be "legal" if you visited the job site after the work was done and before the inspection was made and inspected the work yourself. This means your arrangement with the contractor must give you authority to require re-work until you are satisfied it is done correctly. You should also be aware of every permit pulled under your licence to assure yourself that the contractor is not hiding work from you. You should have a written contract with the contractor detailing these points (and many others) and also detailing your pay arrangement. You should be charging them at your labor rate for every minute of time involved including: site visits, signing paperwork, reading and replying to emails, phone calls. If you don't, you will get sucked into a vortex of giving them free labor.
Disclaimer: I am not a lawyer and this is not legal advice. Have a competent attorney give you actual advice.