If the variables were permanent in the class constructor, then at the time sim() was run, they would not be directly accessible, as it is necessary to qualify by the object in order to get at the values. And if you are going to have an object reference then you might as well toss all of the values into a struct and reference the struct within the object inside the simulink model,
obj.simvars.Frequency
for example. You would have myinit return the struct and then store the struct inside the object.