Reference to mains, was to show maximum draw, or start amps. Lead acid batteries come in a few flavours, the traction battery is designed to be deep cycled, and toped up, used in fork lifts and milk carts, the vehicle battery designed for high current, and the leisure battery halfway between.
But there is a new technology, the valve regulated lead acid or absorbed glass mat, these batteries are not flooded with electrolyte, they only just have enough, and are totally sealed could be used on their side, in fact in stair lifts they often are, but the charging needs a special charger as over-voltage will damage them. Used with all sorts from stop/start cars, mobility scooters, house alarms, from around 3 Ah to 110 Ah.
So flooded batteries (can be topped up with distilled water) can use any type of charger, but AGM needs a special type, the same problem with Lion batteries, sometimes the controller is built into the battery, but if not, the chargers can be expensive. As to the Lion battery you link to, since we don't know if the charge controller can be used with Lion batteries we can't advise.
In the main they are better, as can be left for years half charged, but depends what the charge controller says.