It's always hard to know what'll fit for someone else; I gather the decision to let go of the E-M1 was mainly caused by its bulk - I can actually relate to that, even though it doesn't bother me (on the contrary, I've come to appreciate a bit of heft and real estate for my fingers and dedicated controls). As for the 1" compacts, I've actually pretty much handled them all - but haven't found one that would have convinced me to let go of the LX100! And if I want ultimate IQ (and very smooth handling), I use the GR.
If size is the ultimate issue, the RX100 MkIII/IV is hard to beat because as a package, it's very competent indeed, but I honestly don't like the handling - it's fast overall, but there are areas of operation that really bug me: switch-on time, the slight lag and unpredicatability when using the control ring on the lens ... and there's more of that; in spite of all its merits and overall quality, it still feels toyish to me.
The G7X handles better, is quicker (and the II is said to be faster still), and the zoom range is intriguing - but it lacks an EVF; some say the lens is weaker than the Sony's - I don't know if that's true. The G9X is smaller, but the lens is underwhelming - I'd actually go with RX100 MkI instead.
The ZS100/TZ101 is quite an interesting alternative to just about any other camera due to its zoom range, and it's a capable and enjoyable camera to use in general, but even though I'm not one to bother much about grips, I found that this camera (mostly due to its weight) made my fingers cramp almost immediately - it *feels* slippery (it's not too bad, but I wouldn't want to use it with sweaty hands - e.g. during biking ...). I ended up pressing buttons with different parts of my thumb inadvertedly - several times. I sometimes have the same issue with the LX100 when I use it with one hand and shift my grip to turn the exposure compensation - it's very irritating when it happens but actually my fault and easily avoidable on the LX100 - on the TZ101, I seemed unable to fully avoid it!
As for the Nikons, the DL24-85 and the DL18-50 both look very interesting - but no EVF again. I like the idea of preselecting the focal length, though - but I'm not sure how fluid they'll be in operation (I found the A to be sluggish at times - great camera when switched on and primed, though) and how secure the grip will feel on this very boxy design.
The only 1" camera that I personally felt entirely comfortable with was actually the Canon G5X; they got more or less everything right with that camera: smooth operation, very good EVF, lots of cleverly placed controls - it's very, very convincing in the hand. But: It's not really small - with the EVF, it has more or less the same overall size and bulk (though distributed differently) as the LX100 - it's a jacket pocket camera as well. And since I'm quite happy with the LX100 (it's my daily carry-along camera), I saw no reason to sort of "cross-grade". But I still might do that in the future - I suspect the LX100's place will be taken over by the GX80 I'm about to acquire, and in that case, the bigger zoom range and more fluid operation of the G5X might win me over as a more versatile and frankly snappier alternative.
On a somewhat different note, speed of operation has been an issue I have with compact cameras overall ever since I took up film photography again - even though some of those old cameras invite you to use them very meticulously indeed (think old MF cameras), in actual operation, they respond immediately to everything you do. Even my 70 year old folder cameras (6x9" negatives!) can be prepared to be cocked and ready to shoot instantly. And the newer cameras are quick as hell - it's like switching on a light: flick (and sometimes not even that), frame, shoot. Digital compact cameras just have the annoying tendecy to feel as if they had to install some WinDoze-like updates first; they wake up like old dogs, one leg at a time ... The only digital compact that doesn't annoy me by procrastinating is the GR ...
M.