Hello ATpoint , thank you for your reply.
I will definitely give Genrich a try to see if replicate-aware caller (or the peaks in 3/4 reps strategy) will give a more confident list of peaks as having a consensus peak list is a critical must for DA.
So regarding the bam fractions, eventhough the primary QC from my samples shows nuclosomal pattern (image attached from ataqv), I have good portion of reads distributed in mono- di- tri nuclosomal regions, that's why the peaks are broad and I am losing coverage on those cutting events. Please note there are wavey descending signal (in the fraction containing insert sizes >180 bp) around the original peaks, this fraction is contributing significantly to the noise around peaks, affecting peak calling (absent/present, peak borders). If you compare tracks (counting after the refseq track), track 1 (all fractions included) with track 5 (NFR+mono), with track 4 (inserts > 180 bp) which is merely extended genomic diffused signal. This reduced my TSS enrichment metrics, and those are inserts useful for nuclosomal analysis but not for DA. As I understand they increase the complexity of my libraries on the expense of losing coverage on the basic events that matter for detecting changes. The treatment changes are very limited due to short treatment, so I don't want those changes to be lost due to noise in very close regions to real peak borders where TF binding events occur.
So when I separate them depending on insert size, the NFR fraction peaks seem similar to the clean track (on the top of Refseq track) from literature data, though ~50% less signal/coverage. I know that many analysis proceed with NFR fraction for more downstream analysis (inserts below ~100/140 bp) but in my case the TF can bind mono-nuclosomal regions as well. So would DA on that fraction (inserts of <180 bp / NFR+mono) be biologically defendable/sound?