Your prof left out a critical part, that it's an inverting amp. In fact since it's noninverting, it's the anti-Miller effect! Aunty Miller?...
I think the effect is, it's somewhat bootstrapped at the emitter so doesn't do too much there (it's not properly bootstrapped like Cbe is in an emitter follower, Vo/Vin ~ 1), and at the collector it's still doing the same bulk loading effect. It should be better to GND, where it's just doing an ordinary transconductance amp + load impedance. Which is a very fair way of looking at this circuit, it's got a voltage into a current input, and a current output, transformed back to voltage by the node impedance.
Alternately, you could do some Miller effect by adding series base resistance, but that would just make things a little weirder, I think; the resistor allows a fast feed-forward path, while Ccb pushes it straight into the output node but without the benefit of negative feedback that works when it's common emitter.
Which I've kinda sorta done before, to tune the gain/impedance of an amp stage. This is an example:
Despite being emitter input, the first stage has a modest impedance (apparently, high enough that a shunt 51R (in part) was needed for termination), and the C-B feedback divider sets the voltage gain. (The two top loads act like a gyrator, with an emitter-follower output, further increasing GBW and reducing distortion. The downside is all the large coupling caps to maintain bandwidth down to modest frequencies.
And, not like you'd expect, or want or need, to use peaking caps and stuff for a much more modest bandwidth booster circuit. Simple is good!
Tim