baobab - do you mean settling with power (not having enough power to maintain an OGE hover) or Vortex Ring Syndrome (descending into your own downwash causing large tip vortices and stalling the root of the blade)?
If you don't have enough power to achieve a stable OGE hover, the aircraft is likely to descend which will prompt you to pull more collective which will decay the Nr and the aircraft will sink further and so on until the ground gets in the way or you take corrective action to lower the lever and flyaway using forward cyclic (if you have enough height to do so).
This can lead to VRS but VRS can be encountered with an adequate power margin just by descending with low airspeed (under 20 kts) and getting to a rate of descent in the region of 50 to 70% of your downwash speed.
The two conditions are not the same but VRS is often called settling with power, especially West of the Atlantic.
Do a search for Nick Lappos' explanation.
If you want to avoid settling with power, ensure you have an adequate power margin (minimum of OGE hover power) and make a gradual level transition to the hover - any rate of descent has to be arrested by power and any tendency to quickstop to the hover will mask the real power requirement with flare effect until you drop off translational lift and start to fall out of the sky.
In answer to your actual question, if you only just have enough power to hover OGE, then overcontrolling will increase the likelihood of settling with power. If you are already established in a downwind hover then it should make no difference to the power required as the disc doesn't care which direction the wind is coming from - the only rider to that is that a crosswind will require additional pedal to hold the heading which may sap some power if you end up using more 'power' pedal.
Hope that helps.