No, FDR had to go to a draft because the guys were enlisting and filling the non-ground force jobs, we needed men for the Marines and the Army.
"No" ??? What fact in my post, or in the linked LIFE magazine article, do you dispute?
Read the article. Look up the executive order for yourself, if you like. I have done so.
FDR ended voluntary enlistment. That is a fact. You can speculate all you like about the reasons for it ... it's still a more or less free country ... but I'm not addressing that.