"For WordPress 3.7 we decided to shorten the development cycle and focus on a few key improvements."
Good. But lets make sure each is very, very stable. Every time we have to update it is scary because what if my theme doesn't work, plugins don't work or simply WP doesn't work?!? Thus I always wait to see what happens while others upgrade. I would rather not be the first penguin and lion seal chow.
"Automatic, background updates. 3.7 Beta 1 will keep itself updated."
VERY SCARY! See above. This should be turn off-able.
Speaking of updates, WP should make sure it is backward compatible. A plugin that works today with version 3.6.1 should work in the future with future versions. A theme should not be broken by new versions of WP. If WP breaks the tools we need then upgrading becomes either:
1) A pain in the butt - Might not do it.
2) Impossible - Won't do it
"Search results are now ordered by relevance"
Great news! Shouldn't break anything...