I lift the tank bottom - up "pivoting" on the cog so to speak. The tank will detach without any strange noise. When I put the tank on the lift, I put it at a 45° angle up and then set it down again "pivoting" on the cog. It gracefully "clips" in place without any noise.
During operation I raise and lower the lift at the end of each inversion, when the cog speed is low. This avoids stress on the cogs, as testified by the gentle noise instead of the frightening scratch I would otherwise have. That for all baths except the first developement: with first development I just lift the lift and empty the tank when the alarm rings, regardless of the inversion phase.