From my 6+ years of experience with NoFap my personal opinion is that the social magnetism and female attraction are not a direct consequence of semen retention or not watching pornography in and of itself. I do think however that stopping daily pornography consumption could be a big enough change in one's daily routine to bring along other changes as a consequence. For example, think of an increase in motivation to improve other areas in life as well (like exercising, maybe picking up some more effective social skills, or improving one's personal hygiene). Personally I think these changes could have a more direct effect on attracting possible partners. Sadly the empirical papers I've read on the possible direct effects of semen retention are still inconclusive at best, non-significant at worst.
My personal conclusion has always been to use it as a catalyst for improving other areas in my life. Picking up girls is no longer relevant for me, but my long time partner does appreciate my time on longer streaks as I just generally take better care of myself and our relationship. So maybe no direct influences, but I think almost certainly some indirect ones!