By "type," Jung means what's typical of us across all situations. He isn't suggesting we don’t use both functions more or less in various circumstances nor that “thinking” or “feeling” be used to fulfill our "useless desire to stick-on labels." Here’s one of several passages in Psychological Types where Jung disclaims labeling:
"My typology is far rather a critical apparatus serving to sort out and organize the welter of empirical material, but not in any sense to stick labels on people at first sight. It is not a physiognomy and not an anthropological system… I would therefore recommend the reader who really wants to understand my book to immerse himself first of all in chapters II and V. He will gain more from them than from any typological terminology superficially picked up since this serves no other purpose than a totally useless desire to stick-on labels." — Carl Jung in the preface to Psychological Types.
Myers and Briggs also disclaim overly-prescriptive, reductive applications in their writings. Unfortunately, the format of MBTI encourages the opposite — and the medium is the message.