Hi,Agata, it's a good question. but you don't worry about the downstream applications of RT,RT-PCR,qPCR,because RNA will be precipitated during RNA extraction(step:"21"),and all solutions will be washed away totally(step 24-27). RNA will be very pure and without any heparin any longer.
We need heparin during cell lysis, because the DNA binding sites on RNA polymerase can be occupied by heparin, preventing the polymerase from binding to promoter DNA.