No Duh.
I had just glanced at your calcs but looking them over now I see you aren't basing them on real world values but just the fans rated CFM and the space it's working in. If that fan is hooked up to a filter and say 10 feet of hose that has about 4 - 90 degree bends in it like with most installations and who knows how much hose on the outside of the tent to the actual exhaust point the CFM could be a 1/4 of it's rated output. I took a course in physical chemistry while getting my chem diploma and we had to factor in everything to be able to calculate what size pump or fan would be needed to do various jobs. The rough inner surface of flexible hose creates a lot of turbulence that causes a lot of air resistance too so the longer the hose the less the output.
The only way your calculations can be close to correct is if the fan is mounted without any hose on either side and if it's slightly sucking in the walls of the tent that means there is some resistance and the output goes down right there. Most people just have the fan plugged into their light timer with no other control at all and if the fan goes off in the dark then the RH goes way up until the lights come on again and the fan does too.
If you use a temp/RH controller, (like anyone interested in a stable environment for their plants should), the fan only comes on when ever the heat or RH reaches the set point to switch it on and then goes off once the temp or RH drops below that. In my grow room with a 1000W light like now the 6" fan at half speed comes on about every 20 min and runs for around 4 or 5. With a 4" fan it would be running full speed full time. I had 4" prior to getting the 6" so I do have experience with the difference it made in my room. With just 2 - 400W lights going it could barely keep up with the heat in the summer but I was getting some of the air from outdoors. Now all the air entering the room comes from the rest of the basement through filtered vents and is a lot cooler in the summer as previously stated in a past post.
I'm not using carbon for odor control. I have an ozone generator at the far end of 25' of 6" flex hose and it works better than the plugged up filter I got from my buddy. He used to run it at the end of his exhaust so the air was going into the middle of the can and exiting through the walls and dust cover. He lives in a dusty area with trucks going by his front door on a gravel road so all that dust is inside the filter rendering it useless. At full speed my wife could suck better than what my 400CFM fan could. Heat was going thru the roof using it as it wasn't moving much air. Now at half speed everyone is comfortable and my wife can use her sucking skills elsewhere.