Generally, when presenting an offer the prospective buyer will have a pre-approval from the lender. It is always best to have a pre-approval from a direct lender. Seller can ask for 2nd pre qualification but should only consider offers with lender pre-approval and source of funds. If I were the listing agent a pre qualification would not be acceptable. With valid pre-approval listing agent can check validity with lender that pre-approved prospective buyer(s).
Gail Mercedes Cole