Maybe you have already seen this. The link is way down on the first page of this website, so it gets overlooked. I’ve never tried tweaking a whistle, so don’t blame me if it doesn’t work. But if you are going to make a camp spoon out of it you might as well mess around with it first. http://www.chiffandfipple.com/tweak.html
Good lord, there’s no tweak I know of that could fix that!
Seriously though, you can tinker with it and see if anything helps. Make sure there are no weird things sticking to/on/in anywhere. Mess with the blade and windway. Stuff it with things. Sharpen and dull down things. Look at the link Cynth posted.
For reasons I don’t understand, I couldn’t hear the clips. So my recommendation to tweak was not based on the sounds of the Cnats. It was just based on the idea that maybe tweaking would help. I have never tweaked either, just to complete my confession of total lack of knowledge here.
I was always taught that the poor musician blames his instrument; the good musician blames himself. Repetition is the key to mastery. My advice is: drill, drill, drill!
Yeah, that fingering gives the closest to Cnat pitch that my whistle can make. I guess I could force myself get make do if it wasn’t for the buzzing rattly sound. Initially I thought I have a good solution because I was sort of able to tone a passable Cnat–however I soon found that when I transitioned to C from some other pitch like A or B I had the “loose screw” effect back again. Basically, I got my hopes up for no reason.