Black and White films?

My husband and I have a 4-month-old baby who does not get any screen time, and we don't plan on giving her any screen time until she's an older child. However, my husband is also a film lover and we watch a lot of old movies. We noticed that when the TV is on, she really wants to look at it. My question is is it just as bad for her be watching and old 1930s black and white film as it is regular television? Do we still really need to be very strict about keeping her away from a black and white film as we do brightly-colored and stimulating Netflix shows and Cocomelon and things like that?