Do you have a link to some battery manufacturers' regarding higher charging rates for AGM vs flooded batteries? You two links go to one source – the manufacturer of a battery charger. They're tenders that are alleged to improve motorcycle battery life are pretty pricey compare to most Battery Tender products. If the BatteryMender can do what it claims the high prices could be recouped.
Well, ST Gui, you get the GRAND PRIZE for being receptive enough to at least inquire about documentation. Here you go:
https://www.odysseybattery.com/Home
Click on SUPPORT, then LITERATURE, then (near the bottom), "ODYSSEY Battery Approved 12V Charger Listing "
This is part of what you'll see:

The Odyssey chargers do not have the DESULFATION cycle of the BatteryMINDER chargers, which I understand is a proprietary system (and I fully appreciate).
Contrary to what T_C said above, AGM battery chargers are not "interchangeable" with the old lead-acid battery chargers. Sorry. Things change. Keep up.
Blaming the battery is like filling your fuel tank with Diesel and blaming the bike for it not running right. If you are only getting 5 years out of a battery it's YOUR fault.