It would depend on what that fixed voltage is? The standard stage charger starts with a fixed current, the maximum the charger can deliver. This then changes to a fixed voltage often for a 12 volt lead acid around 14.8 volts, until the current drops to around 4 amp, depending on battery size, and then a fixed voltage of around 12.8 volts.
Car alternators often had a fixed voltage of 13.8 volts, with a car with heavy use on the electrics that could rise to 14.4 volts, the idea is the battery will never be charged for long enough to cause damage.
Canal boats run for longer, but also tend to use the battery more with engine not running, so a pulse charger is used, where the speed of voltage decay is used to work out charge rate, the problem is the battery may be used while on charge, where with a fork lift, mobility scooter, golf trolley, the battery is either used or charged, never both at the same time.
Today the engine management works out what is required, I know when the battery is not fully charged, as the stop/start stops working. I noted the warrantee on a vehicle battery was often 2 years or more, unless fitted to a Taxi, when it dropped to 6 months. Buses and Milk tankers used nickel iron batteries, 24 volt needed 20 cells not 12 cells as with lead acid. And these were really heavy. And all seemed to be reversed, store discharged no charged as with lead acid. And the SG did not alter between charged and discharged.
The CAV 208 alternator actually had current regulation, with a resistor connected between the M1 and M2 terminals on the regulator, plus often a ammeter. Still called the regulator a 440 but the Hi, Med, Low was replaced with M1 and M2. And that alternator was darn heavy, 60 amp output at tick over.