I can't draw with Diviner's Lockbox. Steps:
1. Have Elsha of the Infinite on the board and see the top of my library (it's a plains)
2. Activate Diviner's Lockbox, and name plains.
3. Actual: Diviner's Lockbox resolves, stays on the field and I don't draw cards.
4. Expected: Diviner's Lockbox is sacrificed as the card I named was the same as the one on top of my library and I draw three cards.
Happened again with a mountain, could be just basic lands, but haven't got to test other cards with Elsha.