It is most certainly true that European culture and North American culture are vastly different in many areas. Here in NA, what is considered by many as highly inappropriate would be considered normal, every day life, by those in European culture. Whether good or bad, right or wrong that's just the way it is.
Fact is, RF is not Bella's father. He's the live-in, common-law, boyfriend, step-dad, whatever. For many, that's a game-changer as to what is appropriate and what is not. Not to mention, he's a convicted felon with a very violent and dangerous background. Also a game changer.
Is it likely the pic was 100% innocent? Yes, I believe so. However, at this point, for many, knowing what we know about the lifestyle of this family and the many people they had coming and going, I believe everyone is feeling (retro-actively) seriously over-protective of this poor little girl Bella. At the same time though, is it appropriate to place such a picture in her obituary? In North American culture, the answer to that is a resounding 100% NO. Obits are for remember the essence of the person, who they were, what they enjoyed, etc. It's very very very rare to see obit pics of the person with other people in this context of how Bella's is framed. i.e., with the "mother's" latest live-in and or "notice me" pics of the mother herself. I have no idea who submitted this obit but whoever it was, tried really hard to make it look like Bella had a perfectly normal, acceptable life and we all know what a lie that is.
Just some thoughts on the matter. Of course, all MOO and whatnot. Others may disagree, and that's fine.