Good question Gubbins I wonder if the answer to your question might actually depend on what ebike we are talking about. Let’s consider two electric assist bikes.
Bike A, decent spec hard tail eMTB with bosch Performance Line CX motor with torque and cadence sensors and weight of say 22 kg.
Bike B, top of the range electric assist racing bike, carbon frame etc. And weight of say 10 kg.
Now let’s assume as per your OP that we increase the weight of both bikes by 4 kg, would we notice much difference. Starting with Bike A.
Bike A
This bike has increased its weight by about 18.5% but I suspect we are not going to notice much difference. As flecc has already mentioned, it’s unlikely we will feel this extra weight when riding along on the flat. On down hill sections it will actually help us, so it’s only up hill we need to consider.
Looking at the spec of the CX motor in the highest setting it provides 300% support level. I assume this means that whatever the rider puts in, the motor puts in three times as much (let me know if this is incorrect). So instead of having to power the extra 4 kg up hill, the effect of the motor means it’s more like we have to cope with an extra 1 kg, the other 3 kg are being dealt with by the motor.
Bike B
This bike has increased its weight by 40%, I suspect one would notice this increase. I haven’t looked at any specs for the motor of this type of bike, but my guess would be it provides support to about 100% (if anyone knows let me know). I think this means we now have to cope with an extra 2kg when riding up hill, so double the weight that Bike A presented.
I think there is also another consideration and is possibly the reason why manufacturers have recently being trying to lessen the weight of e racing bikes. Many people may well be able to ride a 10 kg e racer up a slight incline at around 18 mph (ie just above the motor cut off speed), increase the weight to 14 kg and lots of those same people may now have to ride up at around the cut off speed of 15.5 mph.