It would be interesting to know which lenses you used on the E-M10, but while I made good photos with the 6s, in general they wouldn't compare to what I consistently get with mFT. The size difference between mFT and APS-C is neglible compared to the difference to the smartphone cameras.
Where the iPhone shines is getting nicely automatically post-processed pictures. Olympus has an iAuto mode, which also aims for that. There are also a lot of in-camera settings where you can tweak the produced jpegs, if you don't want to post-process. The best quality you would get though by post-processing raw images on your computer.