Charging Lithium LiFePO4 Batteries with pulse charging, charging devices

Question - Can the charging management system contained inside AMPTRON batteries cope with pulse charging that is utilized in some chargers?

Response - The answer to this interesting question is not a simple yes/no response. The simple response is yes, the batteries can "cope" with pulse charging in the short/medium term, however if a pulse charger is used constantly then there is a longer term impact. Let me elaborate a bit more.
One of the issues with a pulse charger as opposed to a constant voltage/constant current charger, is that the voltage peaks of the pulses are not that well controlled, and are often above the maximum allowed voltage. If a constant voltage charger exceeds the maximum voltage of the batteries, then the internal Battery Management System will simply disconnect without longer term impact. However, if a pulse charger regularly exceeded the maximum voltage, then the internal BMS will be constantly disconnecting/reconnecting the cells, and besides that, the internal MOSFET switches can't always react that quickly so for small fractions of seconds, the cells will be exposed to over voltage situations.
As a result of the above, both the cells and the Battery Management System over time will start to suffer some damage/excessive wear that will affect the overall battery life. It is very difficult to estimate the magnitude of this impact in terms of a % of the total battery life, since there are many factors that will influence the overall battery life.

Another potential issue with most Lead Acid charge profiles, is when the charger completes its charge cycle and switches over to the float charge mode, it can take too long to return to the bulk/boost charge phase again. The trigger to switch back from float to bulk/boost is usually based on battery voltage, however many lead acid type chargers have this voltage threshold too low for Lithium batteries. For AMPTRON LiFePO4 batteries, the charger should return to bulk/boost charging around a minimum of 13.2V, but many lead acid chargers only switch back around 12.8V which will mean the battery is already down below 30% before the charger properly starts charging again.

So the bottom line is a pulse charger can be used if intended for short term usage only.