NYT is neutral?
Do you want your news primarily provided by large corporations? Eg, https://en.wikipedia.org/wiki/The_New_York_Times_controversi... .
Do you want your news primarily provided by companies controlled by rich, white old men?
What conflict of interest might there be if your news sources come from a tradition which favors the American white professional class over other people in the US?
Note that historically both the powerful left and right in the US were anti-segregation. Eg, much of the US labor movement was against racial equality. So just looking at left/right doesn't give a good understanding of the biases you might come across.