Kerosene scary..
It is scary. You have to remember those stoves were produced when houses were drafty as a rule, so fumes didnt matter as much.
I had a 2 burner version of that stove for several years, it had no built in oven, but there was a seperate oven which could be placed over the 2 burners, and a large thick lid which could be closed over the burners to use the stove as a heater. I enjoyed using it, and never worried. Mine came from the 1930s sears catalog.
Last winter I thought I had the flu. Achy, tired, slight cough, etc, all the time. Someone gave me a carbon monoxide detector. I brought it home, put in the battery, and the alarm immidiately went off.
Turns out, though the way it functioned and the shape clor and size of the flames looked the same, something in the burner was no longer functioning correctly, and it was filling the house with fumes. I just got lucky that I didnt use it while we were sleeping, and my house was kinda drafty.
Now I use wood in the winter. Kerosene is too risky, unless one monitors it constantly, and lives in a big old drafty house.