Dropping to only 10.29v cranking the engine, is this overnight cold or a warm restart?
What is the temperature of the battery?
If it is a cold battery and cold engine then 10.29v is pretty respectable, in my opinion.
I view every engine start as a load test, watching a dashboard mounted digital voltmeter during cranking, and have watched my 1000+ deep cycle 5+ year old group 27 northstar AGM battery voltage fall lower and lower during cranking. When new it would stay over 12v, yet now 5 years later and 1000+ deep cycles, I now see it drop to the mid 9's overnight cold and not quite fully charged in low 60 f ambients It does not sound like the starter is struggling in the slightest, and 2 months ago in sub 20f a 96% charged battery dropped to only 9.2v.
Maintenance free flooded batteries require higher charging voltages to reach a true full charge, especially if they have been inadvertently or intentionally cycled deeper than 80% state of charge, which many vehicle's voltage regulation today intentionally does.
If I were asked to insure this specific battery were absolutely top charged, I would discharge it at about 15 amp rate until voltage fell to about 11 under that load, then instantly put it on a charging source, limiting amps to under 25 intially, but then bringing it upto and then hold it at 15 volts on my Meanwell rsp-500-15 adjustable voltage power supply, and hold it there until amperage tapered to near Zero.
This assumes a battery around room temperature, A 40 degree maintenance free flooded battery I would bring closer to 15.5v.
These MF flooded batteries behave a bit differently than normal flooded starting batteries, when one can observe the voltage and amperage flowing into the battery at that voltage and compare it to regular or marine batteries of the same general size.
As far as these impedence based battery testers, I personally would not view its readings as set in stone accurate and reliable, but it would be nice to compare its readings as the battery ages, or a longer extended recharge has been performed and see what differences arise from earlier tests. The trend will be most telling, compared to a one time readout on an unknown health battery at an unknown state of charge. and as far as the stae fo charge reading, that is entirely based on the voltage when it was hooked up, and full charged resting voltages will vary from 12.6 to 13 depending on the specific battery.
Goto a parts store with a new same group size battery and see what your tester reads on those........ The comparison will be useful and help you decide.
As far as recharging, Few 'smart' chargers will actually be able to return a somewhat compromised battery to full charge, as they will not hold high voltages for long enough, and the maintenance free flooded batteries requiring higher voltages is generally unknown and most otherise awesome mechanica have very little idea what a lead acid battery really requires to reach a true full charge as anything over 30% charged is likely going to be able to start the motor, meaning any charger that can get it to 85% or better is 'good enough'
But if one were actually cycling a battery, even fairly shallowly, and all of a sudden no new batteries were available in some sort of mad max sceanrio, the battery retuned to a true 100% state of charge would last 2x as long as the battery only returned to 98% state of charge.
You can restart your 'smart' charger over and over but you will have to bleed off the surface charge until voltage falls below 12.6v, then quickly restart the charger and let it go. It should seek mid 14v range for a period of time before reverting back to the mid 13v range, at which point little to no further charging will occur. When it reverts to 13.7 or less and flashes the green light, repeat the process. use the AGM setting also, if one is available. Generally the AGM will hold the battery in the mid 14v range for longer than the regular battery setting, and float will be higher than regular, but this of course varies among different chargers
Multiple restarts are the only way I have gotten the specific gravity to max out on not so healthy batteries using so called 'smart' chargers, and this is an annoying procedure, which is why I acquired adn predominately use the Meanwell adjustable voltage power supply, as it has 40 amps available to hold any dang voltage I command, for as long as I command it to do so.. Overcharging is a possibility but I've not yet destroyed any battery by forgetting to reduce voltage in time or disconnect it when full has been reached.