I've seen a bunch of those "adversarial tetris" variants, and they all operate under the assumption that any of the seven pieces can appear at any time, and with only one preview.
Modern Tetris has 3 previews + hold, and pieces are drawn randomly "from a bag", without replacement (more formally, if P[i] is the sequence of pieces, each aligned subsequence of 7 pieces must be a permutation of the tetrominos).
This would be more interesting to make/play. Note that under such rules there exists a strategy that allows infinite play if the well is at least 17 tiles high.