The term "emotional labour" is the more common used one for what you've described as "emotional services".
https://en.wikipedia.org/wiki/Emotional_labor
It doesn't really make sense in this context unless you only think of the emotional management homemakers do as labor and not all the other stuff they do. You already provided a perfectly suitable phrase in your post: "uncompensated domestic labour"
The most interesting part of emotional labor to me is its connection to tipping culture in America. It's the reason why you usually tip a waiter but not a bus boy, and why you tip the room service person but not the delivery guy. The rule of thumb is: if someone's doing a job where they're expected to put on a smile even if their dog died that morning, they're eligible to get compensated via tips for that additional emotional labor.
I wonder how much of the ‘economy’ (in terms of work done and the dollar figures we put on that) is actually a part of this undocumented category.
The GDP-PPP of countries doesn’t take this sort of thing into account as far as I’m aware, but I’d like to know what would happen to those numbers if everyone simply stopped doing unpaid emotional labour. You could get a sense pretty quickly of how much society is undervaluing it.
Even today there's a distinction between "is theoretically entitled to half the assets by court order on divorce" and practical day to day access to that money.
However, the longer time period you look look at between two GDP figures, the less comparable they are. And finally, since different nations have different economic structures, a direct currency translation may be misleading, hence PPP (which is misleading in a different way, but <shrug>).
Emotional Labor would be a better term for eg the stresses of maintaining relationships.
Arguably this is the situation in Europe, compared to America, as there isn't a comparable tipping culture.
In Germany, there is a word to describe how this has tipped over into a "Service desert" - "Servicewüste", a complete lack of acceptable customer service.
However I think a non-tipping culture is preferable.