> I feel like you're not getting hung up enough on the definition of a definition. This might or might not be true, just how like if I feel that April is cold, it doesn't make it winter.

Meet interpersonal linguistic negotiation. Since in most Northern places most people feel cold roughly between November and March, no your one personal experience doesn't matter. Just like 'tall' is a perfectly useful word, even though it doesn't have a precise meaning in terms of number of millimetres.