IIt can mean a lot of things. In general, if you're rushing a core item, you go out of base with items that help you fram faster, not necessarily help in general.
For example, old Reisen is rushing an IIW. Therefore, instead of generic four mushroom start, she sacrifices hp and gets 5 cat mints for last hitting.
In Yuyuko frost hat case, she maxes out wave and sadism asap for sustain+farm and starts out wwith basket, then rushes the ice cube asap. If she has a rough time, which she shouldn't, she grabs hairpin before cube. Otherwise cube, pin, ice hat.
Yuyuko ice hat is...okay? Seems legit. Icant imagine fuck-off-wait-you-cant-lolslow wave or heartstopper or ult would be bad. Should test with coins maybe?
In the end I agree with Rawr; pin is ass. No point grabbing it before the cube for ice hat, because fruit basket is all around better.