Woman's drama = Test of a man's betaness/alphaness.
By invoking her drama, a woman is asking questions to the man she is dealing with. She asks the man, are you alpha or beta? If so, how much of an alpha or beta are you? Show me. I want to see.
She wants to see how much of a man (i.e., beta or alpha) she is dealing with, what kind of acts he will let or not let her to do, and how much he will let her slip by. In short, a power game aka a test of man's power and her power and how much control she has over the man.
Whether she will stay with the man or is willing to lose him due to her drama, depends on various factors such as a woman's maturity, her partner preferences, her preference to hold on to her power or concede to the man, the phase of life she is in, etc.
In general, you see more drama with young girls and pretty women. There can be exceptions though.
Young girls have time by their side, to test the waters and play around, and can afford to lose good guys.
Pretty women have beauty by their side, and a continuous supply of beta-orbiting men, and can afford to lose good guys too.