I would be extremely embarassed, and my DH knows never to put me in that situation.
I wouldn't want colleagues or family/friends seeing stuff like that, tbh. It feels disloyal, somehow to be using your partner for social network laughs (esp. if it's lies e.g. eating his chocolate - seems trivial but I'm on a longterm diet and that's the sort of thing my family would comment on.. "oh you're too huffy to eat my lovely cake that I made for DS's birthday on Monday, but you've eaten all his chocolate..?").
I also wouldn't want it online in a professional sense -some of our clients can be quite picky about who they want directly involved in the work they do (don't want to say any more, i've already been outed once with my best friend who recognised me on here, don't need to make it easier for colleagues!) e.g. in case something was said that could get me into trouble at work. If my name is associated with things, I like control over WHAT it is associated with, and my DH's behaviour DOES have a direct impact on how I am perceived by my bosses and stakeholders in the projects I'm involved in.
On a wider sense, I do know that my boss regularly googles people he's thinking of hiring. If there's a reference to getting drunk (e.g. "wife on the third glass of wine, slow down woman!"), or something even less attractive, I'm not going to pretend what he has found online hasn't influenced his opinion of candidates in the past. i know for a fact it has.
I also find it cringeworthy when I see exchanges like that between spouses on Facebook. Inappropriate IMHO, but the sheer volumne of it makes me realise I'm probably the minority here.