Yeah, they don't. You have to empty the workshop of junk, then go to the stations with it.
My entire game to date (20-30 hours) has been me looking for a house. I've found ~10 outdoor and/or populated settlements and explored half the map, just looking for a house to settle in. I was so happy when I got the one in Diamond City. To the extent I've done questing, it's been for XP to get the perk to build the crafting stations. In my house.
Having a home base was one of my favorite things about Skyrim, with the crafting stations, trophy cases, storage organization, etc. all set up. That's all I want in Fallout. I just didn't expect it to not be there, just various plots of land on which I have to build crap. I could use the gas station but 1) I really wanted a house, and 2) I don't fast travel so it's in a bad location; the central location in Diamond City was perfect.
I realize this may seem like a minor point but to me it's a huge part of how I play these games and I'm flummoxed I can't in Fallout.