Hate on Utah for being unoriginal, but I think it's clear that this isn't a BYU thing or a Zach thing or a Jets thing.  It's a phrase that has been around football in various regards for a while

Nebraska Football 2017 Tweet (source)
Clackamas HS Football 2017 (source)
Atlanta Falcons 2017 team slogan (source)
Washington State 2018 running back slogan (source)
San Francisco 49ers 2019 fan chant (source)
GB Packers 2019 Matt LaFleur preseason statement and unofficial team motto (source)
Generic Football 2019 Notebook/Calendar with the phrase (source)
Texas Spring 2020 for baseball (source)

There's lots of other places as well.  It's absolutely Utah taking a commonly used phrase and applying it.. but it's not a BYU thing