David Tepper, John Paulson are not quants. Not all quants are good traders. Warren Buffet is an economist. Some quants are good traders. Jim Simon is an exception.
Not all phds in math or physics go to wall street. Most of those who genuinely love math or physics despise the wall street quants. Two of my friends are astro-physicists and one is a math pdh at Fedex.
Do you want to be a trader? Do you want to be quant? OR Do you simply want to be rich? Get in the line for third one.
There are no gurantees. What will you do the day when Wall Street decides that Behavioral Finance provides more alpha then BSM models.
Food for thought. FYI…if you were to really include in your SOP of good phd programs that you want to take the shortest path, good luck getting in.