Trump in the press conference says that there was no official communications with Ansarallah. He said that he believed that Ansarallah made a statement that they would stop attacking the US if the US stopped attacking them. I think Trump is doing a strong arm and hoping they play along.
A statement from Mohammed Ali al-Houthi, says the US halt of “aggression” against Yemen will be evaluated. "Trump's announcement of a halt to America's aggression against Yemen will be evaluated on the ground first. It is a victory that separates American support for the temporary entity from a failure for Netanyahu, and he must resign."
Mohammed al-Bukhaiti says "As for our attacks on the US, they fall within the context of the right to self-defense. If it halts its attacks on us, we will halt our attacks on it. This position also applies to Britain."
https://xcancel.com/TheMediaOfficee/status/1919810922052215208
I think the important distinction is that Ansarallah is agreeing to not attack US Military. They are still open to attacking ships linked to Israel as long as Israel continues the genocide in Gaza.
where is the article link?