With lead, you're referring to the absorption portion of the charge cycle correct? Does that apply equally to AGM as FLA?
All batteries even lithium go through what you are calling is Absorption phase all that means is the Constant Voltage Stage where current tapers to zero. A better term and more accurate is SATURATE. Think of a dry sponge. Dunk it in the water, and even though submerged takes a while to fully saturate slowly.
Both lead acid and lithium have charge speed limits and they work the exact same way. The faster you charge, the longer you will spend in Absorb mode. When a battery manufacture recommends a specific charge rate, they are telling you the fastest most efficient rate. It is the point of Diminishing Returns. When you charge at say C/10 most manufactures of lead acid batteries recommend, you will arrive at Absorption at roughly 90% SOC, and should take another 2 hours to fully saturate. Charge at say C/4 and you arrive at Absord voltage at 70% SOC and now spend the next 5 hours until you saturate down to 2% of C. So take note you can charge at higher or lower rates. Once you get up to around C/8 on FLA, you hit the brick wall where you cannot charge any faster in time, it wil take 10 hours at C/8 or 1C. Tip here, you can speed up FLA charging time by eliminating Adsorb phase, or at least most of it. Real easy to do, we change the Voltage setting to higher voltage. Say from 14.8 volts for a Trojan FLA product up to 15.0 volts. That forces the MPPT Controller to stay in Constant Current longer. Do not attempt with AGM or any Lithium. FLA no problem.
Same for Lithium, but the penalty i snot quite so bad. Example most manufactures recommend C/2. Like Pb you hit Absorb voltage at 9o-% SOC and fully saturate within an hour.
Big difference is with PB you need the ability to be able to fully recharge without time constraints solar puts on you. But do not knock yourself out and get in the mindset they have to be fully recharged every day. A good full charge once a week keeps the doctor away.
As for meters and such IMHO are a waste of money and not capable of telling you anything. Last thing they will tell you is the SOC. Coulomb Counting Pb is a guessometer and would require calibration every cycle. You have to guess at what the charge efficiency which changes with temps and humidity. Lastly there is no algorithm to account for Peukert effect. They can be useful with FLA, but just a hole in your wallet on Pb batteries.
As for SOC, common sense will tell you it is useless on a in service Pb battery where it is either discharging or charging. SOC is only useful on an Open Circuit Battery that has rested for 24 hours and comes to 75 degrees F. That is not how the world turns. The real world of an operating system is it is either charging, discharging, or sometimes Floating.
Check the ole memory vault inside that piece of meat stuck between your ears. Remember being concerned about voltage sag? A SOC meter would tell you the battery is at 0 SOC when you know it is fully charged. I can take a fully charge battery brand new battery and make it read 10.5 volts or even 7.2 volts (CCA voltage) despite being fully charged and in brand new health.
I can take the same new battery, discharge it down to 0% SOC @ 10.5 volts, and make it read 14.4 volts in under a minute indicating full charge when in fact it is FLAT.
Not saying a Volt Meter is not useful, but is no indication of the battery SOC. There is only one way to accurately determine a Pb battery SOC and that is with a temperature corrected battery hydrometer. AGM and you are SOL.
What a meter will tell you is if your system is working. When th esun comes up the voltage should climb to say 14.8 volts, hold 14.8 for a couple of hours, then drop to 13.5 until dark and the voltage will bleed off to 12.6 volts and lower by morning.
Again I caution you to use watt hours.