Generalising from anecdotes of people not thinking this through doesn’t make you sound like you have a strong case. I’m a former pro-lifer who did think things through — up to a point — and I could tell you about lots of pro-choicers who were confrontational while very ill-prepared.
Also, to be pro-choice very much is to be pro-abortion. You don’t have to call yourself that, but actively denying that makes you sound like yours is a cause that dares not speak its name. I’ve never met a death penalty supporter who insisted on being called something milder — such as, I don’t know, “pro-option” — with the clearly strawman argument that “pro-death-penalty” made it sound like they wanted as many people executed as possible.