Have you ever asked yourself why they suspected racism? Perhaps it's because it usually is. So forgive them if they made a bad presumption. Majorities have given them a reason to be suspicious of it. You would too if you were one of them.
So it's not so much projected racism but presumed racism.
Yeah, i agree in a lot of cases it may be.
It is understandable that people get more sensitive to smaller less clearly signs of racism when they have faced a lot of real racism before( and of course media and politics also play into this) but also sucks for the one that is assumed to be racist when not having the intention to be.
A colleague of me always talks about white people being the source of everything bad on earth and him not getting evenly chances because of it,now partly that is true but this thought has consumed him so much that it sometimes also sounds like an excuse to hide the fact that he is not always fit for the same amount of chances other people get and not because of skincolor but just being individually less talented.