Even when my 2021 car was only year or two old the voltage sometimes only read about 11.5 volts if the car had sat unused for more than a few days. Which is below what is considered normal for a 12v lead acid battery even in a fairly low state of charge. And borderline on possible long term damage to the battery (It raised to a healthy 14+ volts charging voltage when the car was powered up.)
I probably should have got the battery replaced under warranty, but never bothered

Perhaps I was too confident that my small 12v powerbank jump starter pack would get me out of trouble if necessary. The car never failed to power up and it never got any worse.
I never noticed any problem with the e-call sos system when the voltage was below 12v, but maybe the call system is the first to fail if voltage drops too low. (Sorry,until now I thought you meant the battery warning indicator light had come on)
I'd be inclined to get the 12v battery condition checked by a battery specialist. They check more than just voltage.
Check out this previous post on 12v battery problems , which includes some suggestions of cheaper options than from a Honda dealership
https://clubjazz.org/forum/index.php?topic=18298.75