what type of head are you using so i can reference?
a ballhead or pan and tilt type?
my travel gig . essentially the same as my larger tripods scaled down for compactness.
my ballhead base rotates 360 on my tripod horizontally and locks at any point
the ball in the ballhead has the same 360 rotational capability along with 180 arc hemisphereical movement and locks at any point.
the lens mount being attached to the lens is a vertical ring based attachment. loosen the the lock on it and the lens will rotate in the mount 360 allowing both landscape and portrait and lots more. this capability can be enhanced by the type of tripod itself too
i also use what is referred to as an L bracket on my camera body when using lenses that do not have a built in mount. this allows shifting from either LS to P modes with minimal to no reframing needed.