"I completely agree with you that the output current should not be tapering down at the same time the output voltage is creeping up"
Vector (B&D) chargers do that all the time as normal.(but only for the absorption stage) I have posted graphs of this many times, which Salvo has managed to forget. Oh well.
Vectors are programmed to taper the amps when battery voltage reaches 13.9v but voltage continues to rise throughout the absorption stage to approx 14.6 or for the newer models 14.8 temp compensated by the time amps are down to about 5amps.
This is an alternative but very effective charging profile to the other type where voltage rises to a threshold before amps taper when voltage is then held constant at the threshold Vabs. Some converters actually drop the level of voltage below threshold to a lower constant Vabs such as the Iota dropping to 14.2 from 14.8.
My PowerMax 100amper dropped to 13.6 for absorption after reaching 14.6 for bulk as built, but I modified it so it stays constant at 14.6 after reaching that during bulk. I now love my PowerMax but need to use another charger or converter for float charging/maintaining. .