VMC is not a specific weather minimum. It is Visual Meteorological Conditions....clear of clouds.
VFR has specific weather restrictions based on the type of airspace you are in. It is Visual Flight Rules.

When you are doing a circling approach, you are flying IFR....thus don't particularly need the 3 miles of vis that VFR requires as a general ROT.

You might need it.....if the minimums for that particular approach require it. And, as has been mentioned, you company can be, and often is, more restrictive than the basic approach would require.

So, I fly my approach down to minimums, break out and see the runway. If I think I can remain clear of clouds and land, I will. If there is a low cloud bank between me and my landing runway, then I will go MAP. And as always, the MAP procedure is for the approach I just shot.....not my intended landing runway. If I lose sight during the circle, then I am going to turn towards the rwy and go MAP (heading generally towards mid-field will aid in obstacle clearance)

If I break out above minimums, then I am going to stay as high as I can while still remaining clear of clouds. It is a heck of a lot easier to fly a visual pattern from your normal perspective versus being in the weeds. Typical error down low is to be too close, and overshoot....or worse, really rack up the bank trying to hack the corner.