We've never had this problem before but then we've not used our Taylors Kero heater since about 2008.
Since we arrived in Hong Kong
in late Feb it's been foggy and, for us used to 30-35 degree heat, cold. Very cold. We joyfully put the heater on and were really happy. For two weeks we watched Mouse (our cat), she wasn't bothered by the heater. Then disaster struck, I was laying on the v berth enjoying the heat and she decided to join me, up she jumped and put her little back feet onto the heater. As I moved to grab her she leapt onto the bed
shaking her back legs. I checked and two of her little toes looked very pink and sensitive, but Rob wouldn't let me use human burn cream as she would probably lick it off and he said it could be really bad for her.
I checked her feet the next day and they looked ok now, a week later, her little feet are peeling - ALL the pads on one back paw - but she still doesn't seem bothered and was vigorously licking and chewing (bleagh!) the loose skin.
She still isn't bothered by the heater but I am totally paranoid on her behalf.