in my inexperienced ATS
opinion it would temporarily work and you would need to re-stock the bio-matter, or give just enough to get the algea growing but not actually flourish so when the time came to stock the tank, you would have to severely stagger the addition of new fish.
here's my logic, using a bacteria filter method the typical spikes will occur during days 8-10 and your amm. lvls should spike somewhere around 6-10ppm, during day 28-32 nitrites should spike between 22-26ppm and around day 38 or so, nitrates should spike around 35-40ppm. since an ATS
system has the ability to uptake ammonia directly there would be a good chance at day 8-10 it would exhaust the surplus of ammonia and once thats gone, nothing else should be present in any usable quantity then die back would occur. maybe my logic is a little 'fast' and ammonia would be generated at a slower rate by the rotting shrimp, but if that was the case the ATS
should still be severally limited in it's production, since it wouldn't have a large surplus.
i would suggest seeding the ATS
in an existing tank, so just using comets for the cycle. however if i am wrong, i would love ashdavid to go into detail as too how because i was too thinking of doing the fishless cycle, but then came up the above logic.