That makes me wonder if a business-analyst or product-manager role should involve a technical interview where you spec out a mock product to see how well you gather requirements.
If by technical interview, you mean the common process of making someone do a simulacrum of the job they will do over the course of days, in a few overly tense hours, then no I can't possibly recommend that.
If on the other hand you are saying, "should I be evaluating product specification and requirements gathering when hiring business analysts, or product managers" then I would say of course! What else would be evaluating them on?
If on the other hand you are saying, "should I be evaluating product specification and requirements gathering when hiring business analysts, or product managers" then I would say of course! What else would be evaluating them on?