FGT charger
There are many threads on this subject. If you battery is flat dead, you need a slow trickle charger to recharge it. Don't try a fast charger as you will ruin the battery. The charger that comes with the car is a floating charger and will not return a dead battery to life. A trickle charger can't be left on as a floating charger or battery tender. Leave a trickle charger on for to long and you will cook the battery.
The FGT charger has a "C" rate of only 0.50 amps. As you say it is a very slow rate to charge a battery. I suspect it would take along time probably a week or two. The charger is only designed to keep the battery charged for periods of inactivity i.e. offset normal decay. it does a great job at that. The charger is a constant voltage/amperage charger and it is okay because of the very low charging rate.
As an earlier post said correctly the Battery Tender is a charger that steps down to a low trickle rate when the battery is fully charged. The "C" rate for the BT is 1.25 amps full charge rate then steps down to a lower amperage rate when the battery is fully charged. That will charge a dead battery in 2-3 days. The gentleman called it a floating rate charger. I always heard them referred to as "step down" charger. It does not matter these work great! I have 10, hell maybe 12 or so of these. The only issue and it is a small issue granted, is the FGT is instant plug and unplug. The BT you would have to use the key to open the trunk, open the trunk, leave it open, Unplug the protective cover, plug it in a small target Ugh. The FGT is plug in go get a beer.
Sorry to disagree it is not necessary to use a tickle charger to charge a dead battery. A charger amp rate say 2 or 4 amp-hrs is okay. Some garages will use 16 ah charges to get a customer going. A trickle charger will just take longer. High charge rate which is most likely what you meant are not good for a battery if done alot. 2-4 amp-hrs is fine.
Lee