Well, as you've mentioned, on here, in past discussions -- the U.S. Census Bureau considers Baby Boomers to be the only "official" generation as pertaining to people born between the years 1946 through 1964. But how much commonality is there, really, between people who were born in 1946 with people who were born in 1964?
I consider people born between approximately 1961 through 1965 to be the microgeneration of "Generation Jones." I see JonesGens as a "cusp" bridging together the end of the Baby Boomer generation with the beginning of Generation X.
Every set of adjacent generations, as blandly as they can be defined, is connected by a similar "cusp" of people who fall into the grey area of where one generation supposedly ends and where the next generation supposedly begins.
So, as a JonesGen born in 1962 -- yes, you're definitely a part of that "cusp" uniting the youngest Baby Boomers with the oldest GenXers. As you've expressed, individually you identify more with Gen X than with the Baby Boomers. But another person born in, say, 1960 or 1961 might individually relate more to Boomers than Xers.
I plan to explore these microgenerations/"cusps" more in depth as a continuation of my "Jigsaw Gens" series:
https://eichy815.medium.com/jigsaw-gens-the-complete-series-956f99da6a3c