As a LE Bomb Technician and Bomb Disposal Unit Commander over many years I can vouch for both of these old EOD sayings.:
"There's old EOD guys, there's bold EOD guys. But you'll never see both."
"If you see me running, try to keep up!"
Also as an old 18C, I can see where it would be helpful to have been to EOD school and have served in an EOD unit. Of course, in most cases an SF 18C or other team member isn't going to play with UXO's, there going to seek out an EOD unit or operator, or blow it in place. (I recommend the latter.)
That said, IMO, most qualified EOD operators who have been in that career a number of years are not going to be interested in going through SFAS, as well as the rest of the requirements to be on an ODA.
My advice? Pick which career field you want to aspire to and get the training and MOS.