I have my own take on this.
If, through a song, I can feel a connection to the original composer/performer, surely that's exactly what the music was for.
I am not American (or Canadian) but I can appreciate the sentiments expressed in 'Ohio' and feel no guilt playing it.
Should I feel uncomfortable singing "(Something Inside) So Strong" by Labi Siffre? I appreciate the sentiment just as much and I have no more connection to Stephen Stills and Neil Young other than my skin colour.
I think most 'cultural appropriation' is righteous indignation. The real problems are misusing culturally significant things out of context (e.g. using holy symbols as trendy decorations) or pretending to be what you are not.
I recall someone being slated for wearing a Japanese wedding dress. When Japanese people were asked their views, they thought it was wonderful a westerner appreciated their traditional clothing.