I am trying not to be too "critical" but feel it is important to let you know when what you are trying to communicate is not getting through, try to help you be more precise in your terminology.
> I have seen different definitions for bulk and absorb and that may be part of the problem.
Vendor manuals are the worst offenders in this. Universal standard definitions nowadays are:
First comes Bulk, aka CC constant current, voltage is below setpoint.
Second is Absorb, aka CV constant voltage, has reached setpoint, V now limited by regulator, after a while current falls until batt Full
Float is last stage, no more charging, just counteract self-discharge while no cycling.
> there is a voltage drop early in the charge cycle.
If not explained by the above, what drop do you mean? From what level to what level and measured where? or between what two physical measuring points?
> I am positing that the voltage drop is when the ‘acceptance rate’ of the battery Goes down.
No, current only starts to drop after voltage has started climbing, and drops the most toward the end after V is being regulated.
> If you don’t see a voltage drop that may be because you have an overpaneled bank.
Again, this makes no sense, at least not using the usual meaning of overpaneling as outlined above.
> I suspect the original test may have been faulty if the mppt pwm comparisons were made on a bank at different phase.
No, there are hundreds of such tests out there and only very very rarely in very specific conditions does PWM come close to MPPT ouput.
> One thing for sure, pwm is a lead acid charger only.
Again, not true, I have installed Bogart SC-2030s controlled by Trimetric BMs that are doing an excellent job with LFP banks, could work with NMC or LiPo as well just fine, you just need to adjust the charge profiles to suit the chemistry.
I agree it would make no sense to pair super-cheap poor quality SCs of any type with a sensitive bank costing thousands of dollars, but there are plenty of high quality PWM SCs still on the market.