@Mowcowbell
You can install a Lithium 12 volt battery in your Clarity if you want to spend around $600-700+ on the battery.
The charging system in your car does not matter. The advice above about not doing so is wrong. All 12V replacement LIB's in the industry are using LiFePo4 (Lithium Iron Phosphate) cells. These are HIGHLY stable 3.2 volt cells that work great because 4 of them approximates the voltage of a 12 volt lead acid battery very closely. The "charge" management is built into the battery (the "BMS" and charge controller). It is not possible for your car to over charge or over discharge these "smart" batteries as long as their BMS is functioning correctly. The "failure mode" on these batteries 99+% of the time is to fail Open Circuit. They are designed this way for safety to prevent just such an issue. Add to in the fact that no car on the market can over charge a LiFePo4 to the voltage required to cause it to fail (almost 17 volts) and the failure is almost always smoke, no fire, no explosion. This misinformation about LIB's is a real problem in the industry. I have taken many of these batteries, and charged them to extreme voltages and temperatures during UN38.3 certification and then cut them open, crushed them, and put fire to them. Critical destructive failure is vary rare and almost never seen in commercial use.
For your edification and entertainment, here is a common video of this chemistry being UN38.3 tested. The "comparison battery" is a common LiPo LCO
"cobalt" based battery. No, our HV packs are not LiFePo4 batteries, they are likely NMC, so yes - the "exciting" kind. If they were not, we could only drive about 20 miles on a charge...
The only reason not to do it is that it is not called out for in the Clarity OEM maintenance program so if something went wrong they "may" say something about warranty. Why is it different, well - LIB's can "recharge" much faster than PBA batteries and draw a lot more current in the process. The 12 volt binding post on the Clarity has built in "fuseable links" on it at varying amperage. The system current comes in via a different path than the "out" current. Although 175 amps is a lot of current, it is technically possible for a fully depleted LIB to draw that much current during charge. However, that is unlikely (you drained your battery completely and installed it dead) so not a worry. I just want to put that out as the only concern from a charge system engineering standpoint. The batteries are very durable, and in a car that runs cool (most are driving EV so the ICE close to the battery rarely gets warm) a Lithium 12 volt will likely outlast the HV pack. They are also not damaged by deep discharges or being stored partially charged (they don't care).
Here is a vendor I have not purchased from but listed a compatible battery for the Clarity on their site. I wouldn't recommend it only due to the cost, and a battery tender is cheap - a flooded lead acid battery will last a long time in this car if properly maintained. The Clarity/Honda charging system does a good job of charging the battery during use (running) without over charging. It cycles the 14.4-14.8 charge voltage while operating to maintain a full charge without baking the battery. I have seen it "rest" the voltage at 12.5 often while driving after "charging" initially.
https://antigravitybatteries.com/products/starter-batteries/automotive/ag-51r-rs/
Finally, on the whole watt meter on a trickle charger - none of those watt readings matter if the "charger" wall wort is based on a transformer (it is somewhat heavy). The power factor will be quite low and those watt readings not even close to true RMS power. If it is buck/boost switch mode then that "can" be worse. Those meters are very inaccurate at low currents with low power factors (if it reads power factor PF, you can check) if it is below .7 then just disregard watt you are seeing. The best way is to measure with a direct (not clamp on) amperage meter or one that can do coulomb counting. They are cheap if you get one for RC use (ubiquitous) but they are not 100% accurate and you will have to build you own adapter cables. For the Clarity, I recommend a maintenance charger (any of them) and a flooded cell that is NOT maintenance free. You can hook it up, add water when needed, and not worry. If it is holding the battery at a voltage between 13.3 and 14 volts it really doesn't matter. 14v is a bit high, but the battery will not sulfate at that voltage, and you can just add the water every 3-6 months that you are losing. It is easier really to prevent sulfation than remove it (with special chargers). If it is maintenance free, then yes - get a good 4 stage tender with desulfation funtions.
Here is one:
https://www.amazon.com/RC-Electronics-Inc-Watts-Analyzer/dp/B001B6N2WK
Sorry, just wanted to get some info out there are this seems to be a point of concern for some. I get it, I am obsessing over the HV pack (literally "morbid" curiosity) and a few of you know my pending solution to my now expensive curiosity (arrives this week).
Cheers,
Cash