Hello. Help me understand your question a little better. Are you saying that you're imagining and asking about a culture where asemic — that is, fundementally void of semantic value — writing was the origin of logo/ideographic writing? So that instead of for example 馬 meaning 'horse' developing from a picture of a horse, the glyph for horse would potentially be entirely abstract?

I think that's what you're asking, but I'm not sure. If it is, then no, I don't believe a single writing system that gained any sort of widespread adoption was developed in that way. There are more recently invented scripts, often used by tiny speech communities who speak a minority language without formal recognition. Many of these rely on glyphs with no imagery or semantically-tied iconicity for their letters, but they are alphabetic. I do not know of any recent scripts of this sort that are ideographic, because they're hard to teach and hard to get a community to adopt. All of the even borderline-successful recently invented scripts, e.g. Wancho, are alphabetic. And even that relies on connections between letter shapes and pictoral concepts.

I guess I'm not sure that I understand you question specifically because asemic writing would generally be inherently incompatible with the idea of an ideogram as a pictorial representation, since it would still need to be a representation that had some degree of saliency to the speech community or it wouldn't likely be accepted.

So, if you could clarify a bit, I'd appreciate it, and could probably then address it a bit better.