Start by treating the drawcord and its tip as a specified trim with a defined attachment, rather than as a "standard" item. Tips come off for a few common reasons. The tip may not suit the cord's diameter. The crimp may be too light. The cord end may not be prepared before crimping, for example by being heat-sealed or taped. Or the cord and tip may not be tested together. Each of these can be specified and checked.

Define the trim, not just its look

In the trim specification, record the cord construction and diameter, the tip material, length and inner diameter, and how the tip is fixed. If the supplier makes tips for specific cord diameters, choose the one made for your cord. Keep a physical approved sample of the cord with the tip fitted, so bulk can be compared against it.

Add a pull check to the inspection

Agree a simple pull check for the tip with the factory and your inspector: a defined pull force or method, held for a set time, on a defined number of samples per lot. There is no single apparel standard that fixes the value for every hoodie. Agree it with your lab or inspection company based on the tip and cord you use, and record it on the spec. Repeat the check on garments after an agreed wash program, because some failures appear only after laundering.

Check the drawcord itself in children's sizes

Your question is about adult hoodies. If you ever extend the style into children's sizes, the question changes completely. CPSC guidance states that hood and neck drawstrings on children's upper outerwear in sizes 2T to 12, or the equivalent, are a substantial product hazard. For waist and bottom drawstrings in sizes 2T to 16, it limits the length outside the channel and does not allow toggles, knots or end attachments. 16 CFR 1120.3 also explains how adult-looking sizes can be treated as equivalent. An aglet is an end attachment, so do not reuse the adult trim on a children's version.

Fix the reorder in writing

For the reorder, attach the trim spec and the pull check to the purchase order, ask for a pre-production sample with the bulk trims, and test it before cutting starts. That turns "standard tips" into something the factory can be held to.