That's exactly what he'll do and his base will agree, of course. But no, in this case most of the media won't - they know what it means, they know it is Trump's only figleaf to pretend he has a 'win' and they have been calling it that on social media for days. That's how most of us became aware of this option in the first place.
His base is, beyond a certain hardcore, immovable (though some are flaking off). The rest of the country will call this possible outcome what it would be - no wall, the shutdown ended and Trump posturing again. That is the overwhelming polling result and the final analysis. And there have been a slew of stories in the last week - and month, really - about Trump being helpless and defeated in this fight.
Even the Wall Street Journal, of all places, calls it what it is: