I'm sure Iran would be happy for the Houthis to ramp up attacks on shipping in the Red Sea.
It would stretch the USN into a two area deployment, put further pressure on the World economy and increase international calls for the conflict to stop.
On the down side I suppose it might galvanize European navies into deploying ships into the Red Sea for "defensive purposes" to protect shipping. Who knows, Hermer might even declare such an act to be "legal"?
None of this is exactly rocket science.