I regularly parallel a Schumacher 25 amp smart charger with my 40 amp meanwell rsp-500-15 adjustable voltage power supply when I want to get to Vabs ASAP.
Still takes 20+ minutes of 65 amps on a 50 month old 700+ deep cycle 90AH ~50%Soc Northstar AGM before it reaches 14.7v and this high amperage blast , on this battery, always has a positive effect on voltage held during the next discharges, so when i notice the battery not holding a certain voltage for X amount of load and X amount of AH removed, I figure it is time for the high amp blast, and will deliberately drain the battery further so that it can accept 65 amps for longer.
I usually have to bump the MW voltage a bit over 15 when in parallel, or its amps will start tapering once the battery reaches the 14.2v range, but it depends on what the schumacher thinks it is doing at the time, as the schumacher will try for 16.4v at 25 amps output, sometimes.
So I have to monitor voltage when in the 14.5v range, and I remove the schumacher once amps into the battery taper to below 40 and the meanwell can finish the job from there as fast as possible.
When applying 65 amps to this particular 50% depleted AGM battery, voltage will rise to as high as 14.4 within a minute or 2, but then drop down to as low as 13.5v over the next 5 minutes, then take the next 15 minutes to reclimb back upto 14.5v+.
I imagine if the schumcher were only trying for 14.3, it would give up on this initial voltage climb before the depleted battery has awoken and accepted the high amperage available willingly.
There is no guarantee any particular charging sources are going to work nicely together to increase charging amperage and minimize charging times on any particular amount of capacity or tyoe of battery, flooded vs AGM.
It is likely best if neither charging source uses the same wiring/busses to the battery terminals.