I may have found the wrong reproduction of this problem but I modified an old JSBin to show the problem:
Currently checked on chrome dev tools using the "mobile" tap input emulation.
https://jsbin.com/wihaxezera/edit?js,console,output

After the map loads - tapping the marker would produce a double "click" console log.. (should not be double)
Then, clicking on the red area to the right (just outside the map div container) would make click event to never fire again.

When removing either draggable:false or fullscreenControl:false this behaviour is not observed.

Did not have a chance to test yet on an actual mobile device..