If there is any truth to this I’d say it was a very foolish thing to do and reflects badly on the Governor’s judgment and character.
However it has to be born in mind that for the most part this does not reflect on his ability to execute his duties as governor of the state of California, nor does it any way reflect on the current political battles he’s involved with against Democrats in the state.
If this had come out about Bill Clinton, Democrats would be vociferously arguing that it made no difference.
I think it’s also fair to say that if something like this had come out about Clinton then the Lewinsky witch hunt would have looked like an Easter egg hunt in comparison to the furore it would have provoked, especially on the right. That said, there would have been no grounds for impeaching him or suggesting that it illustrated an inability to discharge (no pun intended
) his duties POTUS.