Interested in calculating the number of transactions submitted by type of node. Ie seeing how many transactions are originating from light clients vs full-nodes.
As far as Smoldot; a submitted transaction is validated and then send to full nodes.
The full nodes will handle this transaction like any other transaction coming from another peer; validating it, and if correct, adding it to their transaction pool.
Eventually the transaction will be added to a block. Smoldot is checking this for a certain amount of time and also if it is finalized. It updates the Smoldot user about this.
However, generally there is no way of identifying whether a transaction is submitted through a light client or a full node.