Personal experience
Sassafras Lowrey shares fire safety and carbon monoxide reminders in the article below.
Her article linked reminded me of an incident long-ago. My grandfather always had two or three cats that lived in and around his shop. The only heat for the shop was a Warm Morning wood stove near the steps to the upstairs loft. The stairs were open on one side under each step. The loft area access at the top of the stair opening was fitted with a trap door to retain or dissipate heat depending on the season.
In winter, the cats loved to come inside after being out cruising the farm buildings. They frequently climbed to the top steps under the closed loft door where it was toasty and warm from the wood stove heat. Get the picture?
On this occasion, Kitty had been sleeping on the top step for a couple hours tired from a night out in the cold. Something metal fell off the shop bench and went clanging to the concrete floor near the foot of the steps. 
Startled, Kitty jumped through the opening between the top two steps and landed on top of stove on all four paws just like she had all summer. This time though the stove was near red-hot. With eyes the size of golf balls she let out a curdling scream and tried to jump off. Sadly, her pads didn’t let loose on the first attempt having been seared to the top of the cast iron stove. She made it off with a second jump and just stood on the concrete floor in amazement. Grandad scooped her up in one swooping move and immediately got her into a bank of snow. Paws snow-cooled and raw, he brought her back inside for us to administer whatever salve was around at the time.
Kitty healed up in about a month, but never used the top step again.
Source: How to keep kitty safe around the fireplace, Catster, October 22, 2020. Link.