I watched on YouTube manufacturing agm batteries in US with 10 years warranty and they said in bulk mode agm likes high voltage charge.
My split charger gives 15.3v for the first 10-15 minutes and then gradually reduce to 14.6-14.8v in bulk mode and drops to 13.8v in absorption stage.
Without seeming to be pedantic (but I guess I am), you are confusing your stages.
Bulk Charging Mode - also known as Constant Current mode - is where the charger is putting in as much current as the
battery can take (so usually in fact as much as the charger can deliver) and the voltage gradually creeps up to the Voltage that the Absorption Mode is set to.
Absorption Charging Mode - also known as Constant Voltage mode - is the stage where the Voltage stays at the set voltage and the current slowly declines as the
battery reaches a full charge
The mode where a multi-stage chargers voltage will drop to 13.8V (or similar) is actually the Float Mode, which is much more of a maintenance charge rather than a
battery charging mode
Some Chargers also have a Storage Mode, which is a lower voltage again.
This is a good chart showing the different stages and the Voltage (top line) and Current (bottom line) you would see on a Lead Acid technology
battery (so Wet Cell, AGM, GEL, etc.)

Battery Charging Pattern by
David, on Flickr
A voltage of 15.3V would be considered a equalization charge (aka Recondition in the chart above) and would be used periodically on some batteries (usually unsealed Lead Acid) to perform plate desulfation but you would not want to do this on every charge and on an SLA (Sealed Lead Acid) or AGM
battery would only do on a needs-must basis.
There may be some batteries that like a 15.3V hit each time but that is not the norm. Have you actually checked the spec sheets for YOUR batteries to see it that is ok?