When your FG's are that low you really need to consider you are getting wild yeast into the wort somewhere in the process. Conicals are great fermenters, especially if your are into dumping yeast and repitching. The draw back is since they are cold side they require high level maintenance & sanitation or you will have problems. Breaking down parts and sanitizing disassembled valves every batch is time consuming. I like being able to see my wort violently ferment and keep an eye on the trub layer. The cost of a upright freezer to fit a conical in and the price of a conical are not cost prohibitive for me. Do I need it or do I want it? If you have excellent temperature control, you don't need glamor to produce great beer.
You really need to talk to yeast experts, not software experts. I am neither. I had this problem several years ago, two batches, wild yeast, 1.002, and traced the problem to a room fan in my fermenting and pitching room. Now, no fan, no wild yeast being blown around and airborne, no problem! Two cents
Beer that low is too dry on the palate! You need to make sure your hydrometer is calibrated. Distilled water is preferred! The paper inside does sometimes shift. You can physically move it by tapping it against a padded carpet if it is sturdy enough.