Except the Liberty have been on the West Coast since Friday, so their body clocks should be fully adjusted by Tuesday evening (general rule is an hour adjustment per day). I get your theory as a theory but in practice it really shouldn't apply here, and I can assure you when you take a red eye that leaves at 3+ am EDT on a Saturday (right after a game), waking up at 7 am EDT Sunday to warm up for a game doesn't feel any better than staying up until 11:30 EDT five days after going west.
And in any event, the Liberty outscored us after half time, so the eye test also didn't suggest they wilted at that "late" hour.