If you don't pre-soak, you might not see it come out with the developer, but rest assured that the AH dye has been removed. I don't know why exactly that these AH dyes are bleached in the developer, but they are in most cases. The most egregious example that I've seen of the dye not being bleached occurs with 35 mm APX 100 developed in Rodinal with no presoak. I suspect that the sodium sulfite contained in many developers is responsible for the bleaching action, and since a working dilution of Rodinal has very little sulfite, no bleaching occurs. At least that's my line of reasoning on the subject.
In any case it doesn't really matter. I'm in the camp that doesn't pre-soak unless I'm processing sheet film in trays. But hey, whatever works for you is fine. I temper my tank in the same water bath that I use to temper my chemistry, so the tank and the developer are the same temperature and stable when I start the process. Plastic tanks want to float, and that's ok. I just weight it down with a 1/2 brick, then use that brick as a base for the tank in the tempering bath to raise it up high enough out of the water so it won't float when it's partially filled with developer. Easy - no muss, no fuss, and temperature is tightly controlled.