It would be good if homes could identify if a bathroom listed is one with a shower/bath , or a half bath.
The number of toilets is useful and is separate from the bath /shower option.
What does half a bath mean? Just a small bath?
I live in The Netherlands where there are not so many homes with two bath rooms, but most homes do have more than one toilet, as does ours. I’ve been to homes where there were two bath rooms, one with a shower and a toilet, one with a bath and a toilet. We have one bath room with shower and bath and a separate toilet. It’s the same amount of baths and showers, though, of course, in our situation, guests who don’t want to see each other naked can’t shower at the same time. 
But it is definately handy to know.
So, in summary: I agree. 
Your reaponse made me laugh-- in a good way.
What we mean in Canada by a half bath is a room with just toilet and sink. If youbare having 4 guests its good to have more than one toilet. The full bath would be same but with tub and/or shower.
We had guests who were disturbed that they didnt know there was only one shower, when our listing said 2 baths. It is very clear in the description now however, but perhaps there’s a way to clarify toilets vs bath/ shower.
I would expect two showers, too, when the listing says the home has two baths … Wouldn’t mind though, less bath rooms is less rooms to clean when we leave. But this is definitely an(other) argument for an extra box.