Public sector purchasing runs on documentation, and education is no exception. A district may need three quotes before it can issue a purchase order, or it may buy against an awarded bid or a cooperative contract negotiated on its behalf. Either way, what reaches you is a document with line items on it, and the same reading and matching problem applies whether the header says quote request, award confirmation or purchase order.
Two things matter operationally. The first is consistency: once a price is awarded, every school buying against it should get that price, which is only reliable if the price lives in your Shopify price list rather than in a spreadsheet or in a salesperson's memory. The second is traceability: the district will reconcile your invoice against their own paperwork, so their reference numbers have to be present on your order. Both are intake problems, and both are solved at the moment the document is read rather than during a month end investigation.
A draft order is also a perfectly good quote. Merchants use it that way for multi-line requests with negotiated discounts, then convert the accepted version into the order once the PO arrives.