Ya, a sturgeon will die in that tank.
I've have owned both Diamond and Sterlet Sturgeon, so have actual experience with them too.
There are three main issues:
Your sturgeon will fail to thrive at those temps. It may survive for a period of time, but it will never be happy.
It won't get any food. Mine managed to hold their own against koi goldfish and mahseers, however I had the sturgeon trained to swim upside down along the surface and take food from forceps. If it wasn't for that I have a feeling they would have starved. Amongst those other fish, they will eat any food you try to feed the sturgeon with gusto and most likey try to eat the sturgeon later on. Assuming you get the sturgeon at a couple of inches and the RTC is the same length, in a year that sturgeon might be an inch or 2 longer, the RTC might be a foot or so longer. And will probably try to eat your sturgeon. Sturgeon are also not aggressive at all, and simply ponder around the tank. No regard for other fishes personal space or territories. Most of the fish in that tank are large active and aggressive, and would make for bad tankmates.
Finally, oxygen content. Sturgeon NEED crazy high O2 levels, or they WILL die. That is how I lost mine, the airstone managed to get out of the tank one night and I lost them in less then 7 hours, with the filters and pumps still working. Most tanks simply don't have the dissolved oxygen content needed for them, although it is fine for the other fish.