This is not how it works.
Push offers are "pushed" to a store because they cannot be ordered at podium. They tend to be heritage leathers or highly crafted items (like the much maligned Space Malice bag). They are items that are not produced in large quantities.
"Push" does not mean that SAs are pushed to offer these, and they are not leftover stock - we all know that Hermes doesn't much care about "clearing out" bag stock at year end - this is why you can quite conceivably buy a 2019 bag in store today.
Are there push offers that don't sell immediately? Of course. Most are collectors' items or, again, heritage leathers. The aforementioned Space Malice, some Volynka items, the Chimere line, etc. In the past, possibly Box bags. But it's hardly a remainders situation