No... Imagine if Ado was a tree and you pick a small sliver of wood to represent the spren, cut that tree into 16 parts, and the sliver of wood remains the same, but to the casual observer, it's now a sliver of wood from Honor. If you were to do these steps out of order, it would remain the same. Besides, all spren are slivers of Ado because it's the power of Ado you're splitting off anyway.