Hi there, psychologist here who has done research in personality including looking at the Big Five. It's not my personal favorite set of constructs, but I have great respect for the body of work supporting it.
Modern personality theory in no way assumes that personality doesn't change over time. It finds instead that personality tends to be "somewhat stable over time" which means that personality doesn't vary massively from week to week or month to month but can definitely shift across the lifespan. In fact, here's a large study looking at exactly that (though cross-sectional which means that many effects could be a function of age cohorts rather than actual change).
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2562318/
Regarding your hypothetical introverted recent college grad, these kinds of shifts can and do happen, but massive shifts in personality appear to be quite rare. What's more, modern work in the area has found that "within-person" variability is much greater than "between-persons" variability meaning that as individuals we express a wide range of behaviors. For example, I might be more extraverted at work and more introverted among friends or vice versa, showing internal variation. That said, we can talk about a person's average level of a trait like extraversion and that average is meaningful and predictive.
As to your point, both kinds of change can and do happen, but changing our behavioral approach to life tends to be gradual and slow for most people.