The oven is easy to test. Unplug the cord and see if it will light.
In any event, an oven is a VERY dangerous form of alternate heat due to the relaitively HIGH carbon monoxide level they give off.
Vented gas logs are safe but produce almost no usable heat beyond the radiant component within a few feet.
Unvented space heaters are legal again in many areas that used to proscribe the things. IMHO they should STILL be illegal !! If they're working perfectly they usually won't kill you. Cracking open a window is not really enough to solve the problem. The catalytic type like Mr. Buddy are probably the safest.
I hate ventless gas heaters so much I will not service or install the darn things.
An "oxygen depletion sensor" is no help !! Lack of O2 isn't what kills you; it is buildup of CO.
In some ways kerosene heaters are the safest of all because that odor some folks complain about warns you to seek some fresh air, thereby reducing the CO exposure somewhat.
Battery operated CO detectors are a must. More than one is almost a necessity; preferably different models, at least ONE of which has a digital readout. They are not the greatest but they are better than nothing. Darn things do not alarm until well into the danger zone due to, you guessed it, government regulation!! Too many "false alarms" in the opinion of the ignorant so they were desensitized.
CO poisoning is a slow killer in most cases. It builds up slowly without warning, sometimes over DAYS. The stuff is absorbed quickly enough but LEAVES the body slowly. That means a low level will accumulate over time until it is at a lethal level. The blood's hemoglobin has a greater affinity for CO than O2 so will take up the wrong one!! Once in the hemoglobin, it doesn't leave very well.
If you are asleep, you just don't wake up. In house fires, folks rarely burn to death - they die from poison gases, including CO - long before they cook.
Some folks feel bad, others become nauseous - they are the lucky ones. Those that do not feel bad or get sick, just DIE. Kids are the most vulnerable, BTW.
You are betting your life that your unvented gas heater or oven won't poison you just to avoid the slight smell of Kerosene. Suit yourself!