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I don't know if it needs to be a sweep, even. A square wave technically includes all frequencies to create that instant rise and hold because a freq high enough to rise that fast will also drop immediately after so a slightly lower frequency is needed to cancel that out, which then needs a lower one to cancel it out and so on. So you can see right away just by looking how well the square shape is maintained if all of the frequencies are making it through. If the corners look more rounded, then high frequencies are being lost. If the flat part looks bulgy, low frequencies are being lost. If the flat part looks squiggly, mid-range frequencies are being lost.
Though it is more of a rough brute force approach and a sin wave sweep will give a better idea of specific frequency response.
And I should correct what I said earlier, it wasn't that none of the cables were dropping anything, but that they all looked similar in what they were dropping and there wasn't much of a difference between a 10cm patch cable, a $2 3m cable, or a $30 3m cable.
If I ever get the space to set it up I might try it all out. I managed to get an IR out of the noise someone's guitar pedal made on a record.