Discrepancy in stability conditions when calculating via RH criterion and Nyquist criteria
The full Nyquist criterion can be summarized to the equation $N=Z-P$, where $N$ is equal to the number of encirclements in the clockwise direction of the minus one point, $Z$ is the number of right half plane closed loop poles and $P$ is the number of open loop unstable poles. So for closed loop stability you want $Z=0$, so $P$ counterclockwise encirclements of the minus one point. If the open loop is stable and you want the closed loop the be stable as well, then this simplifies to that you always keep the minus one point on your left, or in other words rotate around the minus one point in counterclockwise direction.

It can be noted that scaling the open loop transfer function by a constant $K$ then the Nyquist plot also gets scaled by this constant. When determining the closed loop stability this is equivalent to scaling the minus one point by $1/K$.