Without some experience at something (like being a CFI) your odds of making it through a 121 training program go way down. Washouts happen nowadays and a few years ago when mins were a lot higher washouts happened a lot less.

Beware of trying to fly a jet with the absolute mins. Seriously. More people than you might think don't make it through to the line.

Not saying you shouldn't try, but beware of the new reality, which includes training failures.