yes i have seen that and there is also a variation to that design
But your diagram is not a variation to the design of the circuit, it is a variation of how the same circuit could be drawn. A schematic diagram, of which this diagram would be a part, should make the signal flow as easy to follow as possible. That almost always means flow from left to right. Any unnecessary flow in the other direction, even if not incorrect, just obfuscates* things.
- To make so confused or opaque as to be difficult to perceive or understand.
(Like the use of the word obfuscate)