I think this something else altogether though. What I realised was that curled implies curling and flat implies flattening. What about starting flat and curling or, in this case, starting curled and using an uncurling action to play. Contrary to what I'd always imagined, I need literally zero inward action to avoid collapse. The issue is whether this is because I developed certain ligaments over time, or whether it's purely due to alignment issues. I really don't know the answer to whether you need to develop strength or coordination yet- but I can say that I have one quite advanced student who had a severe problem but who has learned to collapse vastly less often, since I showed her not how to curl, but to extend back and away from an initial curl.
This is going to result in misinterpreted words and a futile argument about a point we agree on if I try to answer in any detail.. I personally think that the line between strength and coordination is very fine.. there is strength, but it is not strength in the way that anyone who has not developed this specific kind perceives that word... and that the strength is only developed through coordination.
I'm sure you've done the exercises in craft of piano and have experimented with say the balance of the thumb while moving other fingers, shifting the arm etc.. and in turn experienced that initial complete unsteadiness on the thumb, constantly flailing into a collapse one way or another. Once resolved I find that the coordination/balance learnt gives the hand a sense of power and strength.. and its kind of wrong to suggest that it is not a kind of strength... but I don't get about telling people they need to be stronger, because they misinterpret.
I'm not personally convinced here. The student I mentioned is at grade 6 level and very musical. It's largely been a case of improving her sound by concentration on physical stability issues and by getting her to move with greater confidence. The sound was something that had to be unlocked by other means. She'd still be collapsing like crazy now, if I didn't deal with the issue in physical terms. At beginner level, a collapse has so little influence on the sound (as long as they play with confident action) that I don't believe any musical issues would be likely to help. At best, they'd be a reminder of a problem, rather than a fix.
I didn't say don't address the physical, I just said have a sound in mind as the goal.. so that there is musical purpose behind the technique.. rather than just technique for the sake of technique. This doesn't have to be complex.. the transition between 2 adjacent white keys can create a loss of balance and diminish dynamic control.. example..
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4/8 - rest C E G | F... E
Cresc to F, trail off onto E.
Doing this consistently will present sufficient challenge if there is a general lack of stability. Now the student has to learn to be stable in order to produce the dynamic easily. They can see what their trying to do.. it works better than just saying "play in this way because i say you should" if there isn't a musical aim the student doesn't understand why the technique makes their playing better.