An alternative way to cascade filters

Dear all

I hope this finds you well. I am trying to cascade the following two filters:

b = [1 -1/2 1 1/2];             % IIR filter numerator
a = [1 0 -1];                   % IIR filter denominator
fvtool(b, a);

bc = [1 0 -1];                  % COMPENSATOR numerator
ac = 1;                         % COMPENSATOR denominator
fvtool(bc, ac);

Cascading the above described filters results in a FIR filter as the poles of the IIR filter lying on the unit circle are cancelled out by the zeros on the unit circle of the COMPENSATOR; therefore, the overall transfer function of the filter is reduced to

fvtool(b, 1);                   % overall filter

The Filter information provided by the Filter Visualization Tool are correct. However, when cascading the filters this way instead

IIR = dfilt.df2(b, a);
COM = dfilt.df2(bc, ac);
Hov = dfilt.cascade(IIR, COM);

magnitude response, phase response, etc. provided by the Filter Visualization Tool are correct but the Filter information says it is an IIR filter.

Is there an alternative way to cascade two filters?

Thank you