The rectifier may fail in the event of an increase in output voltages (partial short circuit of the primary windings, breakdown of the insulation between the primary and secondary turns).
The supply voltage of the 230V rectifier can increase to 400V (failure of the power supply / or home substation if it is three-phase /,

) how much will be at the output instead of 12V ??
The electrolyte can burst the casing, if this occurs in the car, the fluid will cause some damage.
Ford Mondeo after charging in the car, lack of power and uneven speed, damaged controller (or on-board computer), work cost PLN 400.
Mitshubisi space, the wagon did not start after charging; no spark, damaged ignition module (here everything is nicely flooded, no interference)
new, over PLN 3,000, the client bought a used one for several hundred zlotys.
These failures may have arisen as a result of charging the battery in the car, or maybe for another reason, but they occurred right after charging.
The question was about the risk of charging the battery fastened in the car, there are always only failures occurring rarely or after some time.
Besides, is there any point in topping up ??
New batteries have a working time of 2-3 years, then winter comes with frost and we may have a problem.
There are cars in which, after disconnecting the battery: we will not start it (Mercedes eyepiece), visit the service (reportedly PLN 4,000), or later its problems with work.