From a practical imaging standpoint, I'd say the LX-100 is every bit the equal of that Leica.
I have been very happy with the image quality of the LX100. Even though it's "only" 16MP (really about 13 effective), it takes pretty decent images as long as you don't need to crop too much. In fact, the image of the Point Loma shoreline I posted here recently was shot with the LX100.
If I were looking for a convenient point-n-shoot, the Lumix would be a consideration, as would a Fuji FinePix.
Funny you should mention FujiFilm. As it happens, I have been researching a relatively new (a couple years old) entry from FujiFilm - the X100V. It is a Leica-like rangefinder-style fixed focal length camera that is, on the one hand very "retro," but at the same time packed with a ton of very cool technology. From the many reviews I've seen, the IQ of this thing is quite good - and I've seen lots of comparisons to the Leica Q2 in which it compares very favorably with the much more expensive Leica. Some of the things that intrigue me about the X100V:
1. Film Emulations: It has several built-in "film emulations" that allow you to emulate various old-school film types. It also allows you to develop your own emulations and there are people out there who have come up with formulas to emulate other film types, like Kodachrome etc. You can have the camera loaded up with several of your own emulations in addition to those that ship with the camera.
2. Leaf shutter. Unlike most digital cameras that have a regular shutter that sits between the aperture ring and the sensor, the X100V has a leaf shutter built into in the lens that sits in front of the aperture ring. For one thing it allows you to take flash images at higher shutter speeds while avoiding the banding you'd get with regular shutters. The leaf shutter provides for much more uniform distribution of light on the sensor.
3. The tilt screen. This would be very handy for street photography as it allows you to compose shots without being so obvious that you're taking pictures.
It's not a "cheap" camera, but it is far less $$ than an equivalent Leica. I'm almost tempted to sell the LX100 to provide seed money for one of these. These only issue is, this camera is out of stock and on back order at all the major stores like B&H and Adorama, etc., with no indication of when it will be back in stock.
Here's one of the many videos discussing the X100V: