I am playing a live G10 game. I am White. My opponent, in a lost ending, exceeds the Time Control. I then get this:
 
The game WizardNo1-TheSystem has been scored as a win for White.
 
 
Prev Rating New Rating Change
WizardNo1 2062 2061 -1
TheSystem 1447p 1700p +253
 
I win the game and lose a point. My opponent loses the game and gains
253 points.
 
WizardNo1

Assuming you actually 'won on time'!?; That doesn't appear to be the Only
'glitch'!?!? --
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White: WizardNo1 (2062) Start Time: 12:09:31 UTC
Black: TheSystem (1447p) End Time: 12:26:01 UTC
Game: Chess Duration: 0:16:30
Speed: G/10 Moves: 40
Result: 0-1 (Time) Opening: Caro-Kann; Gurgenidze system
Game ID: LCH1271592571005018028581

Yes, it's because he/she was provisionally rated.

This makes no sense. Why is it listed as a win for White in the message I received, and a win for Black in the record book?

It's a re-occurring 'glitch' that was addressed several times previously, {by various players}; But 'true-to-form', "AdminBrian" never 'chimed-in' about it.
Look up the thread {Wiz}, "Add MillmoreMagic" to your Do Not Play list" {under the "Help & Support" b.b.}, And you'll get to re-read, several "Same-Old, Same-Old" complaints, Re. this same glitch.
 
It also was covered, on the 'Misc' b.b., If you go back far enough {in the concurrent time-frame}, as it was mentioned, in the "Help & Support" b.b. ----
 
P.s- The consensus 'work-around' solution {as I recall}; Is that one needs to periodically-to-
frequently; Reload or refresh, your own browser; Including, {from my own experience}; First clicking the "Dock Monitor" icon, in the SE corner of your 'Caissa' screen; Then 'Reload'; And finally; Go to the "Watch Live Games," page, and click on your own game; Whereupon you're back 'playing' again.. Only in an 'updated' fashion!

It's a glitch, Wiz. It has happened to me at least one time in the last 2 years. I was less than mollified with knowing that there was no sufficient explanation for this occurring.