My personal opinion is there is an issue if he is publicly doing this without her knowing. But then again. [1]

How many people would want someone to post a picture of them with their names, plans etc out in the wild for this reason.

It's not like she needs a kidney. Or is kidnapped and he needs to take immediate decisive action.

She may very well be the type of person who has previously expressed willingness to be very open of course. But from the story we have no way of knowing this.

[1] Personally again I like the initiative that he is taking. He is taking a risk obviously. But you have to to get ahead. Besides it doesn't matter if the internet doesn't like what he is doing and in fact (streisand wise) that may actually work to his benefit.