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Should the ‘varying degrees of effect’ be taken to mean that the n or s is moved up (or down) to the next available slot, rather than as far as it can go, I.e into the furthest available slot? If

Castafiore, direction of travel is governed by the physics, but distance travelled may vary.

For example, in 1d, should I leave the sequence of the first 5 letters intact, and move the n up a couple of squares only? I can’t do that in 6d, though - it has to go as far as it can because of the across solutions.

Thanks, Jono. Does that mean I move them as little as possible?

There should be no ambiguity. Only one placement will work, I believe.

castafiore - both those solutions are right. The trick (I finally discovered with help from here) is to leave all the downs in the correct order except for the necessary displacements.

Castafiore
As Jono has said, you may move the appropriate letters any number of squares in the correct direction. How far in each case is determined by the crossers - you cannot alter the ORDER of the unmoved letters, and the across solutions must stay as is.

Thanks, Prospero and Jono.

Has anyone received a confirmation that their submission of answers was successful?
Normally I do, but not so this time (twice).

I had the usual confirmation (I always scroll up and check) : )