Here's three possibilities I can think of, in order of increasing grasping at straws. However, we only have your subjective impression to go on, and that's kind of vague, so I can't really weigh in meaningfully on whether this is enough to explain the difference you're seeing.

Maybe it's distortion correction?

I'm assuming you have the Olympus M.Zuiko Digital ED 12-50mm f/3.5-6.3 EZ, but the same could apply to many Micro Four Thirds lenses.

This system is designed with the idea that compromises in lens design can be compensated for with software. That means that many Micro Four Thirds lenses have very strong geometric distortion ("barrel distortion" at the wide angle, as opposed to perspective distortion — see this for more). This distortion is corrected for in RAW conversion by warping the image, and this would leave the edges not a rectangle and looking pretty bad, so it's normal to crop when doing so.

This could reduce the effective field of view noticeably from the 71.6 horizontal degrees that pure math would suggest.

Maybe you have a wide-angle converter on the P&S which you don't remember?

Something like this — an add-on optic that increases the field of view by 0.45× (that is, makes it about 2.2× wider). These are generally terrible for technical image quality, but may be sufficient for low-res real-estate pictures. (Although I'd hesitate to use any such thing professionally!)

Maybe the zoom ring on your camera is broken?

Maybe it turns to 12mm, but has some breakage or obstruction?

Please post examples!

... because otherwise, it's really hard to do more than guess.