I just re-assigned the Ring Func button to the Tele-converter. It now toggles among 0, 1.6 and 2.0.
I do believe you will have fun with the d. teleconverter; it can mean the difference between a shot which is too far out of reach, or a successful albeit slightly grainy capture.
For example, I shot this with my G3X only just a few minutes ago in dim evening light and in the rain.
The camera is on a tripod in the house, shooting through a dual-pane window.

Not a bad shot considering the crummy lighting and weather
Canon 'calling' it a "Digital Teleconvertor", as you noted previously, since its fixed at the 1.5X or 2.0X at all selected optical focal length.
However IMHO:
- Canon's "Digital Teleconvertor" is a misnomer as its still in fact a digital zoom; i.e., taking a smaller crop section of the sensor then then up-sizing back to the sensor's 20 MP 5472x3648 resolution.
- Cameras like Panasonic, e.g., FZ1000, have what would consider having a digital teleconvertor where you select the size of the sensor crop size -- 10 MP (3888x2592) for around 1.5X or 5MP (2736x1824) for around 2.0X without any deterioration to IQ due to up-sizing image back to the sensor's 20 MP 5472x3648 resolution.
As to digital zoom most modern compact digital cameras have two types of digital zooms; some variant of a "smart digital zoom" and a "standard digital" zoom.
See the "Optical vs. Digital Zoom"
HERE.
As you probably know when using Canon's "Standard" Digital Zoom, as you zoom the lens out the LCD Zoom Bar has three colors; White = Optical Zoom, Yellow = ZoomPlus, and Blue = standard (regular) digital zoom.
For most people using the 1"-Type 20 MP sensor IQ wise (as to viewing images on display and prints up to 8" x 10") be better of setting the camera to 10 MP (3888x2592) for 1.5X or 5MP (2736x1824) for 2.0X.
Borrowed the bird image below from Imaging Resource (IR)
G3 X Review as I do not have the
G3 X (but several other
PowerShots over the years):

IR G3 X OOC JPG 600mm equiv
Image below is the IR G3 X OOC JPG 600mm cropped to 10 MP (3888x2592) @ 300x300 DPI with FastStone Image Viewer's "Lossless Crop To File". The 10 MP (3888x2592) provides around 1.5X 900mm equiv.
Image below is the IR G3 X OOC JPG 600mm cropped to 5MP (2736x1824) @ 300x300 DPI with FastStone Image Viewer's "Lossless Crop To File". The 5MP (2736x1824) provides around 2.0X 1200mm equiv.
I have the FZ1000 and when I need longer reach than the FZ1000's 400mm equiv lens I have the "C1" setup to use 10 MP 1.5X central crop and Panasonic's iZoom (similar to Canon's "Safe Zoom) which provides the 25-400mm equiv optical, 401-560mm central crop, and 561 - 1124mm with iZoom.

FZ1000 1124mm eqiuv
I wished Canon PowerShots display zoom bar like the Panasonic compact cameras that the LCD zoom bar shows the 35mm equiv focal length, and JPG's EXIF shows the optical and 35mm equiv. focal lengths.

Wished PowerShots display zoom bar showed 35mm equiv focal length
For myself occasionally use the "ZoomPlus" but avoid other Canon Digital Zoom; prefer results I can obtain doing my own cropping of images while post processing.
Cheers,
Jon