Fit an isolation switch for the battery then, if good, it will keep for months.
I think your right.It sounds like you are trying to re-invent the wheel. Most modern "smart" chargers do exactly what you are looking for.
Yes but then you often lose radio coding. With the caravan if the battery is disconnected and reconnected than the radio auto turns on in demo mode, and with wife's car the engine management will need telling what size battery has been fitted and will send all sorts of messages to her mobile phone, with modern car not really an option.Fit an isolation switch for the battery then, if good, it will keep for months.
I have a couple of big 12 batteries as stand by for my ham radio system, they are permanently on charge but at 13.2 volts which is officially the fully charged voltage for lead acid batteries (6 x 2.2v). I bought them secondhand at least 10 years ago, could be longer and they are still doing their job.
Peter
It seems early one you have is two stages, new 5 amp version like old 3.8 amp with voltage display has 4 stages would suggest you get the new version.
My father-in-law was one of the few people I know who used his garage for a car, it had bonnet tucked under work bench at end of garage, and block on floor so he would stop at exactly right place so door could close,
My father-in-laws electric garage door was always a problem, first they failed to fit a manual override, and only way in the garage was through that door, and consumer unit in the garage, they returned and modified with a keyed pull out, it pulled out a pin so you could lift the door, then it was use of remote controls, it was in a pocket next to front door, he would push it as he went in and you could hear door closing, but one stone under door and it would reopen, he was next door but one to us, number of time we knocked on door to say garage door is open I lost count.