I dont know why your obsessing over whether this is cheating? That's irrelevant.
When I first started my career 30 years ago, yes this sort of thing was part & parcel and generally accepted, but rightly so, times have changed. This behaviour is not acceptable now, nor should it be.
I work in a very male dominated environment, following a restructure I had a new direct report and when we were out at lunch one day, this young woman disclosed inappropriate behaviour from her former line manger.
Sounds very similar to this, sexist comments, overly familiar, 'tactile' etc.
We went through disciplinary, he denied any wrong doing, citing 'its just the way he is', 'he's always been like this', 'its her fault for taking offence'. It caused quite a rift in the team with the old guard saying that's just 'John', he's always been a bit pervy.
Rightly so, the business took it seriously, too many instances for a warning so were going to sack him, but he resigned first.
For your husband to be sacked there must have been a pattern of behaviour, more than one incident.
I find it hard to believe hes not like this outside of work, if he's not then that would indicate he knows its wrong, which makes it worse.
If you're still struggling, think of your daughter and how would you feel if this happened to her at work?
To the poster inferring he was unlucky enough to say it to the 'wrong person', shame on you. That kind of attitude is why this behaviour is still happening