cuts at the top of second octave

I’ve been instructed by teachers, who
pass through these parts on their way
to the real world, to cut as high as the flute
will respond. So on a low D or E I cut with
the ring finger or middle finger of my left hand.

What I want to ask is this:

suppose you are playing a second octave
G, say. Where do you cut?
How about a second octave E?

In general in the second octave
I’m having trouble getting the
flute to respond to cuts higher up,
though the solution may be to cut
in a very fast and shallow way.
One lady a saw cut the G on the
G, that is, simply lifted and replaced
the left ring finger on the hole,
quickly. Best

If I was playing a 2nd octave G I would cut with L2 (i.e. B)
If I was playing 2nd octave E I would most probably cut with L3 (i.e. A)

I don’t really find myself cutting differently from how I would cut in the 1st octave. The main problem with cutting notes like E and D is that the notes dont come out quite so crisp due to the lack of venting, so you could consider cutting lower down for these i.e. L3, R1-3 etc. I don’t quite understand why people would advise to cut “as high as the flute would respond” because of this. I’ve even considered cutting with R1 on E (high and low) to get a more crisp sound but decided against it for now.

Ultimately there are no hard and fast rules regarding cutting. Whatever works for you should be fine.

Thanks, very helpful. I think the idea,
which I may not have represented so well,
is that the higher the cut, the more dramatic
the chirp.