Probably, depends on how you measure productivity.

If you measure productivity in terms of number of automated bureaucratic events (e.g. creating files, organizing files, generating lines of code, finding bugs in code, generating emails, responding to email) then yes productivity will continue to increase because LLM's are the killer app for increasing bureaucratic events.

If you measure productivity in terms of changes to the material world (e.g. traditional things like trade goods, buildings, food stuffs, irrigation systems, transportation networks, etc.) then no because LLM's have little meaningful impact on those activities...no AGI is going to harvest lettuce for our wedge salads).