FHA/VA loans can be refinanced at low cost (so-called “streamline” refi) and rates are lower than conventional right now because GNMAs get an explicit government guarantee. At today’s rates a refi makes sense to me … just barely.
I’m not sure if a conventional refi makes sense this week. I think the par rate is around 4.25% today and given the higher cost of a conventional refi you may not get much of a benefit. Maybe next week!