Yes, Tom. Not all baptists hold to this false belief. However, I think it does say something when it is generally a matter of contention between arminians and baptists. So allow me to ask a few questions and see if you can understand why I think it goes along with baptist theology.......
Either 1) only professors should be baptized, 2) only the elect should be baptized, or 3) only professors and their OIKOS should be baptized. I have totally disproved #2 repeatedly*, and of course you don't hold to #3. That means you uphold professors baptism. In order to make this belief plausible one must actually put forth a valid profession. At what age can one do so?
*We ALL believe that ALL the elect should be baptized yet know we cannot make this the litmus test for baptism due to not infallibly knowing neither the election of an individual nor the core of his heart.*
