Rereading POA - Dementors' Kiss

[Alina]

No: HPFGUIDX 100224

I'm finishing up my reread of POA and I'm on this moment right now:

Fudge: "Never dreamed they'd attempt to administer the Kiss on an innocent
boy... completely out of control..."

It's been the general assumption that Fudge was talking about Dementors
trying to Kiss Harry earlier at the lake and not too long ago there was a
discussion here about who could've possibly seen it and told Fudge about it.

So I thought, how do we know Fudge is talking about the incident with Harry?
True, it's the only incident we have seen, but McNair was taking the
Dementors to Kiss Sirius and I bet they were as dissappointed as Fudge when
Sirius was nowhere to be found. Maybe, out of frustration, they attacked
someone else?

I know there's no real canon to support my theory aside from the fact that
we don't know who could've told Fudge about Harry's near-Kiss, but it's
possible, right?

Or maybe I'm just reaching that hair-splitting, nitpicky point in my career
as a fan...

Alina.