Hello Yogi,
you are making claims here that are not accurate. I hope you are not installing parquet or laminate flooring, because otherwise you will quickly have a problem.
So, what is the difference between impact sound insulation and carpet flooring.
First of all, every supplier or manufacturer will give you a specification as to what must be used as impact sound insulation; if you deviate from this, you immediately lose the warranty.
Impact sound insulation must have a thermal conductivity value of 0.02-0.06 W/mK and must not compress strongly under load from walking and/or furniture; because of this alone, carpet flooring is already off the table. Furthermore, before installation there is an obligation to check the substrate for moisture, flatness, cracks, etc.; you cannot carry this out if carpet flooring is lying on it. The checks are mandatory and must be carried out without exception, including the moisture check, even if the screed has been there for 100 years.