Yes, you're right, stateless mode is much more client centric than stateful, in stateless mode you're usually sending the client state to the ser ver using custom data to rebuild in server the client state of the page part being to be managed to perform the required changes using the typical Java DOM and pure HTML templating, with some help of custom JS when needed.
Many ItsNat utilities are still useful in stateless mode, but this mode has the price of not so automatic and "pleasant" like the stateful mode, the benefit is scalability without session use and a much more relaxed client-server ItsNat "contract" promoting a more client centric way of programming with ItsNat.
Regards