That was the OP's question and was mainly what I was replying to. It seems like it would not work, but it does. I know a woman who did it that way for forty years and I tried it myself last summer, marking the jars "boil" vs. "no boil" so I would know which were which later in case of a problem.
If you have the puree at a full boil when you put it into the jars and then apply the lids and bands immediately, the lids will "ping" and the jars
will seal.
For myself, I didn't like the results and I don't think it's worth the risk of insufficient sterilization. About 10% of the jars I filled that way started to ferment and bubble over within about a month. The other 90% sealed and remain sealed today. I have used them; they smell and taste perfectly fine and fresh and no one has gotten sick from eating them.
The woman I know who does tomatoes this way does ten to twelve bushels of plum tomatoes every year, and has for many years. If it didn't work, her basement would be ankle deep in fermenting tomato goop and her family would have their own chairs reserved at the local emergency room.
To be clear, I don't recommend doing it that way and I don't think it's safe, but it does work and there are people that do it. I must not have the special touch that this older Italian woman does, so I'll stick with the forty minute boiling water bath.