Counter performance vs demoralize

[Hobit of Bree]

Hi,
Can the bard "counter performance" work against demoralize?

Demoralize says: "Attempt an Intimidation check against that target's Will DC."

Counter Performance says "You or an ally within 60 feet rolls a saving throw against an auditory or visual effect".

Does the attempt against the target's DC count as a save?

I'm guessing not as it not causing the roll of a die, but the whole DC thing seems like just a mechanical alternative that wasn't intended to have game effect. So I thought I'd check. (Plus counter performance is so rarely useful, sorta sucks for it to not work).

[HammerJack]

It does not work. A saving throw needs to be made.

[Hobit of Bree]

Thanks!