I have every bee breed except dyes and the new thaumic ones, I know how much space they take. I also know that you can slap cave and nocturnal on any production bee and stack them in alvearies like magic blocks that produce stuff out of thin air. And I see no reason a factory shouldn't be as aesthetic as a factory. Lots of grey blocks, straight lines, and exposed piping. I'm pretty sure my carrot farms have never seen a ray of sunlight, I know its been a couple weeks since they've seen me around them.
My base, which I consider has everything needed, and several things not needed, is currently occupying a 2x3 block area (I had mapped out a specific 3x3, but never used that much) from 50 to 80 y-blocks. Oh yeah, there's a prototype nuke plant at the bedrock too, but it won't behave and explode like I expected.
My next base, regardless of its a rebuild of this one or a new gen of a world will be spread out to lower block-update issues, but even then I suspect I could build everything desired within 8 spot loaders.
I do have to commend you on the small footprint. I stick to 128x128 areas myself but a great deal of that is due to how I go about things and constraints I operate under.
What is not commendable however is the general assumption about aesthetics. There will never be an exposed pipe in my base willingly. Once in while it is unavoidable but definitely not the preferred. Same for power wires except in the wiring closets and access ducts I put in just for that purpose. That increases the space needed but so be it. Everyone has their own desired expectations on how something should look, it isn't right or wrong but does affect space requirements. I sacrifice a 25x25 center area of my 128x128 solely to a central shaft surrounded by a hallway overlooking it that has a grass and flower garden bottom. No bees, no nothing productive just pure pretty. Since it is in the center of my facility there's no avoiding having it count as space I need if my supply facility is on one side and industry on the other. It gets loaded as a byproduct of supporting the automation. But it looks nice so I keep it. I even make my warehouse as pretty as possible given that it's rows of thousands of barrels.
Additionally some folks operate under different constraints (by choice or circumstance) such as base needing to be totally hidden underground and hidden. That eliminates a large section of each chunk that would otherwise be used forcing by necessity to spread to more chunks to make up the lost space. Building under sea or under lava bases would have same limitation. Or a sky only base would then miss out on the ground chunk space.
So 100 chunk spaces isn't really that large. Essentially it is giving you a space that is always loaded as if you were there.