Sorry but I am using logic to magic, that's how I like to test the limits of the magic systems. It’s part of why I love Brandons magic. As its noted in the link that Ookla posted, spren is a part of both conservation and Honor (Sanderson dint say so, but he did note its an possibility), so splintering Honor shod not create sprens that are partly Conservation, unless Conservation gives up more of his power. But the back question is still what happens to Honor's power, because as I understand it splintering it won’t make the power go up into noting, it only splinter's it up into smaller parts so that it can’t get back together again. In the same way as if all ruins power where turned into metal (yes, yes if it get burned he get it back splinters are esuriently a lot harder to put together again).
But if there are more of all types of sprens then its evidence that Conservation to are destroyed.
If it is more sprens only containing honors essence. Then what type of sprens are these and what can they possible do. The wiki notes that the splinters don’t need to be of the same mindset as the shard it came from. But any spren containing any part of Conservation can’t be creating by splintering Honor.
So one could say I am leading up to the question who created the spen, where conservation a part of this, or is only the spheres and stormlight a part of Conservation? The interaction between the spren and the Highstorm points in the other direction (no Highstrom no spren). We know what magic system Ruin and Preservation created. But what part of Roshar’s magic comes from what shard, to me these questions are linked. Ok if all his powers where splintered into so small pieces they are without affect then to me that who'd be boring. Yes it could be but I don’t believe it, and what is the fun in explaining away problems by making them not be a problem because of “magic”, that’s just well lacy.