Have you really got an understanding of things? The voltage source has nothing to do with current, any more than does the ammeter. The nature of the path from the voltage source negative terminal to the positive has everything to do with the current.circuitashes,
No, Vbe controls the charge carriers from the emitter. Ideally they should all pass through the base and continue on to the collector. Unfortunately some are inevitably caught by the base to become Ib. Ib current is not needed to control Ic, but it is proportional to Ic. Although this relationship is exploited to bias the transistor, saying it controls Ic it is like saying that the ammeter in a series circuit controls the current instead of the voltage source. Ratch
The voltage has to be present to enable current, of course. But, assuming there is a circuit, is is the elements in the circuit that determine current. It is proportional to the voltage, and cannot exist without the potential difference to keep the electrons moving. Asserting that current is byproduct of voltage is correct, but the two are too intimately related to treat one in the absence of the other.
Of course there is no carrier flow in a PN junction in the absence of a voltage difference across it. once the potential has got large enough, the junction (if the voltage is properly applied) goes into conduction. We know that Vbe is essential to the operation of the BE junction in a BJT.
Where the problem we have appears is the assertion that Vbe is the controlling influence. That implies that management of Vbe can make the transistor operate in a completely predictable fashion.
The reality we all deal with is that once Vbe has put the transistor into conduction, it will be destroyed by current unless some element is present to limit - read control - that current. Some level of Vbe must be present for conduction in the junction, but that voltage does not control conduction - it enables it. Managing current through the BE junction is the only control for BJT operation.
By now you must be aware that these forums do not function as a condensed matter seminar. The questions and aid are much more practical. A knowledge of Vbe is quite useful - one may check for proper transistor operation by metering base to emitter and observing something on the order of .7 volts. At that point, though, Vbe has lost its usefulness in circuit operation. As long as it's maintained, it's all current control after that.
If you wish, we can simply agree to disagree on this point and drop this thread. Continuing it in a purely contrarian spirit serves little purpose. Our objections arise from the fact that we can demonstrate that our model functions in the real world, and we have no such demonstration of yours. That doesn't necessarily mean we win, but we lack evidence of the utility or application of your model of transistor operation.