Rather, I mean, I think that the above would be possible, but would those transactions be accepted by the rest of the network or do transactions need to be verified by more than just the one or few couple of full nodes that you run? I seem to recall something about the execution of every single smart contracts happening on all full nodes in the network but that seems strange (mainly because of how volatile any large scale network of distributed nodes will be in terms of nodes passing in and out or temporarily losing connectivity with the rest of the network) so I think I did not understand correctly how the Ethereum network really works.
Furthermore, if a full node could be run in the fashion I mentioned above then how many smart contract executions would it be able to facilitate per hour? Currently Ethereum is Proof-of-Work, so it would depend on your hashing power I guess. Perhaps the chance of finding a block is so small that you can’t realistically run the kind of node that I mentioned? And how about after they switch to Proof-of-Stake, will it be feasible then if not now? How much would you have to stake in order to be able to put through the transactions you wanted?