Not commenting on what would happen in the DR in this case, but generally speaking, unless this problem with the vehicle occurred evidently due to road damage etc. shortly before the accident, if your vehicle has a problem, that is actually your fault as far as I know. So unless you could not avoid your tire to get damaged due to bad road etc just before the accident, then most likely you started driving with bad tire and hence your vehicle is not road-worthy...I was wondering. What happens if your vehicle has a problem, for example you have a tyre blowout and you accidently kill someone. So it is an accident which isn't your fault, but someone dies. Do you still get locked up?
As said, the above is not really DR related in the sense that many people in the DR do not care if their vehicle is or is not road worthy, I'm just saying in general...
I've seen many news stories where trucks kill people due to "loss of control" due to malfunctioning brakes etc, those are all driver/operator fault I think.