I will definitely agree that there is no machlokes which I see here. Based on what I see the most likely scenario is something along the lines that R Sholom spoke to R Nota with some hypotheticals which R Nota said can be used as a heter if she meets certain conditions at which point she went and got married without having met those conditions claiming that she got a heter from him when she really did not.
R Sholom spoke hypothetically to R Nota?
Why hypothetical?? This was a real live case that R Sholom was seeking a heter for. What was he trying to get by R Nota?
Either way, there is a stira between R Notas letter and R Aharon Feldman's report.
Plus, daas tora says he is publishing the letters between R Sholom and R Nota later, so we can wait and see if this was all hypothetical or not.