Whose values? Whose morals? Mike Pence might well say the same thing, but have a slightly different agenda.
If Instagram (and Facebag, and Titter) hold themselves out as publishers, then they are legally liable for everything that appears on their platforms, including the two percent of “we love cutting, it’s fun” posts which make it through the filter. If your real goal is to litigate these companies out of existence and/or turn them into walled gardens, this is a good way to do it.
You are treading close to what some here would term victim blaming.
Parents, consumers … having responsibilities?? Pardon me, I must go clutch my pearls. 
