I disagree with you on #2 and #3 there, which sure it may do that, cheato forms in a ball if tumbled correctly and can trap a lot of stuff, but for me, it is as simple as pulling out the ball, rinsing it in the trashcan of water I just took out from a water change, and putting it back in. 10 seconds of work and not even 1 step taken to accomplish weekly maintenance on cheato, and for pruning, same thing, trim in the trashcan with scissors then shake in the old water and put back in the refugium, 20 seconds total to trim and rinse.
I agree with you on the lighting aspect. I have good luck with 2x 9w CFL bulbs on my refugium growing Cheato, but I know if I put more light I would get much more growth. I don't think your scrubber would work well on 2x 9w CFL bulbs though, so cheato has a bigger range of what lighting will be enough to do a positive job in the tank. I am just looking at a scrubber as a ultra condensed version of a big ball of cheato but requires more work to maintain.
Again, I am just speaking out loud what I am thinking for my tank. I am not trying to say the scrubber is bad and no one should use them, the opposite actually, I am trying to justify in my case if it would be a better route to go on my tank. I just like to play devils advocate when I contemplate adding/changing things to my tank, like I did a few weeks ago with Phosguard vs GFO.