Progressive's website is confusing. Perhaps changes to literature have not kept abreast of changes to equipment.
One PDF manual says this:
For the 9160ALV, regulated DC output voltage is rated as 13.6 volts.
Boosts to 14.4 when high current is flowing and current is less than maximum rating (12.6 volts).
Maximum current occurs when battery is at about 12.6 volts.
Voltage drops to 13.2 volts if low current and unchanging for a long period (storage).
This is ideal for lead acid batteries and will work for most lithium batteries, but is not optimum for lithium, but may work OK. It depends on the lithium battery design.
Full charge for many 12 volt lithium batteries with built in BMS is typically 14.4 volts. Battle Born says their batteries will work fine at 13.6. They will perform a little below optimum.
This manual indicates it has a charge wizard port.
In this case you have a converter/charger designed for lead acid batteries.
Another manual says this:
"Note: Units manufactured in 2021 have 2 stages. This applies to the PD9160ALV only. The second stage drops the voltage to 13.6 after The battery is fully charged."
Specifications say this model does not have a charge wizard port.
In this case your 9160ALV is working as designed and is optimal.