What makes a stat "interesting"

[Shurrikhan]

As in the title, what does a stat (or set of stats) have to accomplish in order to be interesting?

Quick poll, for thread-users reference as it accrues votes.

1. Must adjust gameplay, more than just in terms of rotations. (E.g. rotations + aethetics + identity + overall feel of the job)

2. Must adjust rotations, and maybe a bit more.

3. Must adjust capability; even if using the same skills at the same times, should now have a bit more baked in AoE or burst or periodic damage, without necessarily needing to adjust rotation.

4. Must adjust character identity, even without direct change to gameplay. (Aesthetics, shared gear or stat use between multiple classes giving a sense of collective progression, or whatever else)



Will also sticky any other core questions and issues appearing in discussion.

[w/ Khalithar] What makes gearing (the selection of gear paths or desirable pieces) interesting?