Not sure if anyone else uses Plumber, it’s a QoL addon (and I can’t even remember what I got it for!), but it has some neat housing features too, like macroing the house hearth to your action bars.
I just recently noticed their latest update allows you to select which house you want to hearth to, so I can go to my ally or horde house with a button click.
Has this always been a thing outside of the addon? I haven’t found any other way to do it other than use the bugged housing portal.
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You can choose which house you want to interact with in the upper right corner of the default housing UI. There is a small drop down.
I never realized that was to change the hearth location too, I thought it was just to change the UI for the house level. I never had to hearth to my horde home on my alliance character, so I never clicked it 
I learned quickly during early release. It always defaulted to my Horde house so I had to change it every single time I wanted to use the hearth. Actually deleted my Horde house for a while because I got tired of always changing it.