Asked another way.
Set voltage to say 14.45
When batteries are fully charged does the voltage read 14.45 or less? If less, how much less. There is a .15 volt discrepancy with power supplies. Let's say I fire up a Meanwell or a Megawatt and set voltage to 14.45 and the battery is right at fully charged to begin with. The voltage drops to 14.30 and stays there. The power supply can stay connected for a month and maintain 14.30. Disconnect the battery and it will rise to 14.45 <50mv ripple should answer that question.
This is called "slump" and it's important enough to ask if it exists.
Thank you.