That is not true.
A proper battery lead acid battery charger will charge in a constant current mode with an upper voltage limit. As the battery absorbs more charge, the charger will gradually increase voltage to maintain the set charge current. When the voltage hits the preset limit, the charger switches into constant voltage mode (14.4v or so) and will hold this voltage. The battery will gradually absorb the final charge, and the charger will monitor current. When the current drops low enough, the charger will either end the charge, or switch to float/maintain mode (13.6v or so).
I have a proper "smart" programmable battery charger, and it behaves exactly as described. I can set it to 200ma, 1, 10a, anything in between, and it will maintain exactly that charge current until 14.4v is achieved, at which point it switches to constant voltage mode, then eventually turns off once the charge completes.
What you described is how a car alternator charges a car battery. An alternator will do everything it can to maintain 14.4v on the electrical system - even if that means ramming 70A into the battery. Charging a battery at high currents like that is very hard on them, which is one of the reasons automotive batteries tend to be short lived. Especially if you deeply discharge them often.