Place an item in the cart, then continue through the checkout process til you get to the address entry screen. Uncheck "Use my billing address" and then enter all but one piece of required information in the shipping address section. Now, click Continue Checkout and will get returned to the address entry screen and told there are errors (because of the missing field.) But, looking down the page, you will see that "Use my billing address" is checked again. This should not happen. The state of that checkbox should be retained.
This appears to be fixed, unable to reproduce.
This does indeed appear to be resolved on webdevel. Closing out this issue.