I can see why he picked his definition of evangelical, but it's not a definition, it's just a description of some things that people do/believe in who are *called* (rightly or wrongly) evangelical. Not surprising, really, because that word is almost meaningless anymore.
Evangelical vs liberal, if you want a decent diving line, it's simply a matter of do you treat the bible as God's word and the final authority or not. That's very rule of thumb but it works to at least separate the groups, even if you get some wild fliers on either side of that who don't fit the modern non-definition. But if you use that rule of thumb, you won't find liberal denoms on the side where the bible is treated as God's word and the final authority or not or evangelical denoms on the side of God's word not authoritative and final.
PCA is on it's way to a split. They didn't handle the federal vision stuff as they should have and are already moving towards ordaining women and have not handled the inroads of the sexual anarchy movement very well.
SBC is also up in the air after their big meeting this year. Russel moore smeared the denom on the way out the door by making accusations of abuse and *not* saying who did it; there was some pretty stupid political campaigning to control who got elected to the sbc presidency, and the messengers at the convention were stopped in their attempt to clearly define CRT and intersectionalism as the evil it is. If you read that article on thefederalist about the convention and nothing else - you got suckered (and the federalist ought to know better).
https://founders.org/2021/06/17/the-2021-southern-baptist-convention-what-just-happened/... aaand he goes off the nutter end re: listing seventh day as christian. At least he bothered to say some don't agree that they are.