Electronic shutter: advantages and disadvantages

Unfortunately, the E-M10II review does not include the Raw Dynamic Range testing that they did for the E-M5II, G7, Sony RX100IV, and maybe some others. The G7 and RX100IV reviews have that and they did it using both the mechanical shutter and the electronic shutter. The G7 uses a Panasonic sensor and the E-M10II uses a Sony sensor (but not, of course, the same one as in the RX100IV). Here are some quotes from those 2 reviews:

G7:

However, the bad news is that there is visible shake in the G7's output, especially around 1/160th of a second. This isn't present in the Olympus [E-M5II] (which was shot using electronic first-curtain shutter). The shake can be eliminated by using the G7's (fully) electronic shutter. However, while this eliminated the shake, it also adds noise, which in turn reduces the degree to which you can adjust the files before the detail is overwhelmed. Unfortunately, an electronic first-curtain option, which in most cameras that offer it eliminates shake while not introducing additional noise, is not available.

...

This isn't true in Electronic Shutter mode, though. Just as the additional noise started to creep into the exposure latitude images. A 2EV push of a file starts to exhibit more noise than natively shooting at ISO 1600 and after a 3EV push it's really obvious. Given how much of your image is likely to be made up of dark tones in the situations in which you might use high ISO settings, this difference is likely to be very obvious.

http://www.dpreview.com/reviews/panasonic-lumix-dmc-g7/6

RX100IV:

Sony's sensor designs contribute very low levels of noise, which means highly 'pushable' Raw files.

...

The interesting thing about the RX100 IV is what happens when the camera automatically will switch on its electronic shutter (at a high shutter speed or in continuous shooting modes). Having a camera do this automatically typically would be a worry. As we can see on the Panasonic G7, the fully electronic shutter has a DR cost. The RX100 IV, however, faces no penalties for making the switch, which means there are no worries in letting the camera decide when it will use a fully electronic shutter.

http://www.dpreview.com/reviews/sony-cybershot-dsc-rx100-iv/15

I don't know how the electronic shutter performs in the E-M10II. More like the RX100IV since they are both Sony sensors? Maybe, maybe not.  Do the E-M5II and E-M1 have an electronic shutter?