The short version
Both apps include Wim Hof rounds. WHM app is the official method reference; SOMA layers WHM inside rhythmic music breathwork with broader pranayama context.
When Wim Hof Method app is the right pick
If you are committed to the WHM specifically and want the official curriculum, structured level progression, cold-exposure integration and Radboud research citations — WHM app is the right shape.
When SOMA Breath is the right pick
If you want rhythmic music-paced breathwork that includes WHM-style rounds within broader pranayama context — SOMA is the right shape. Different pacing, broader scope.