This is a garbage take George is not a NHL goalie. Annunen is maybe a backup. Annunen needs to play. It's the best possible option.
Here's my take:
Right now George is not an NHL level goaltender.
Right now Annunen is not an NHL level goaltender.
The upside for George is that he somehow figures it out and plays at an average to above average #1 level.
The upside for Annunen is that you manage to scheme your defense well enough to get him to mediocre backup level.
I'd rather roll the dice now and see if you can possibly get George back on track. If you can, (I'm not saying the odds are good) you're probably just shopping for a solid backup at the deadline.
If you roll with Annunen you're locked into shopping for a #1 as well as potentially a backup at the deadline.
The best option would just be to make a move now, but that might not be possible.