Fun fact, I ran into this question early on while developing HATETRIS. From least to most convenient, the pieces in HATETRIS are S, Z, O, I, L, J, Thttps://twitter.com/mplblm/status/1096693863148867585 …
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That's an ordering by intrinsic inconvenience in a situation where there's no other way to choose between pieces. In an arbitrary situation, a Z is considered more inconvenient than an O, which is more inconvenient than an I, and so on
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Note that S is intentionally (although somewhat arbitrarily) consistently chosen over Z. I believed that a continual sequence of S pieces was more unhelpful than alternating between S and Z pieces
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This could be a mistake on my part... the highest-scoring HATETRIS runs exploit the predictability of the near-continual stream of S pieces to get lines. But I suspect that providing a healthy balance of Z pieces would have made matters worse (i.e. allowed higher scores)
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At one point I inadvertently uploaded a version of HATETRIS where the piece preference order was S, O, I, Z, L, J, T... and an infinite loop (enabling unlimited lines) was quickly discovered. So you see how delicate the balance is
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Public perception of the usefulness of the I piece in clearing lines is warped by the points bonus for using it to clear four lines at once (i.e. get a Tetris). Laid horizontally on a bumpy stack, it creates gaps. Placed vertically, it dangerously increases the stack height
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It's true, the I piece is very useful if you habitually build dangerously tall stacks with single narrow slots specifically for I pieces to go into
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End of conversation
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is "inconvenience" here based on the general probability against a piece being immediately useful (i.e. clearing one or more lines)?
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No, by the time of this tiebreaker decision, immediate usefulness has already been taken into account. All the pieces remaining would enable equally many lines (0 or 1) to be cleared
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