Is there an advantages to any but standard? Some look like you have even less space.
The Forest Farm will spawn foragable items in the grassy areas, the stumps on the left hand side will regrow daily, providing you with a constant easy source of hardwood, and there are special weeds that grow that will always drop Mixed Seeds when you cut them. You can build buildings on the grassy areas too, so you aren't as compromised for space as it would seem.
The Hilltop Farm has a quarry down in the corner where you can get ore and geodes. I'm not sure how well that works out, since everyone I've seen playing it has said they pretty much only get copper and basic geodes at the beginning - if it levels up as your mining skill does that'd be neat, I guess.
The Riverlands Farm actually makes fishing viable (apparently any fish available from rivers can be found here), it spawns bubble spots and ore panning spots as well. Honestly it feels a bit like hard mode since there's so little space, it takes a long time to navigate and it's really easy to knock stuff in the water.
The Wilderness Farm is literally just "hey wanna have to kill some bats at night?" It feels mostly like if you wanted something new but the other new ones weren't really doing it for you.
The reduced space on the farms look like a huge deal, but really I don't think I've ever actually used the bottom left quadrant of the base farm in any of my playthroughs and I already had more money than god in those, so you're not missing too much.
