Depends on how the billing works.

For users on fixed monthly pay accounts they'll be incentivised to do the exact opposite, as their income is fixed and the cost goes up for more tokens.

If the available evidence (third-party cloud pricing of open models) is correct and they make a profit on tokens but lose it on training, they will be incentivised for as many tokens as possible on pay-as-you-go API calls. If it isn't correct and they actually lose money even per token, they're also going to be incentivised to reduce output here.