  We give further counterexamples to the conjectural construction of Bridgeland
stability on threefolds due to Bayer, Macr\`i, and Toda. This includes smooth
projective threefolds containing a divisor that contracts to a point, and
Weierstra{\ss} elliptic Calabi-Yau threefolds. Furthermore, we show that if the
original conjecture, or a minor modification of it, holds on a smooth
projective threefold, then the space of stability conditions is non-empty on
the blow up at an arbitrary point. More precisely, there are stability
conditions on the blow up for which all skyscraper sheaves are semistable.
