I live in Florida we don't have baseboard heaters or heat for that matter,lol. Just old fashioned baseboard moulding .... you must be referencing cords under throw carpets which I'd kill myself tripping over those .I have wall to wall with thick padding underneath and all cords were placed prior to installation ... so we have completely different type homes and since you've figured out the braided cord solved your problems it sounds like you're all set!
Glad you've got your issues resolved
Glad you've got your issues resolved