1) I.e. let's say I have a charger outputting 18 W through USB-C PD or
some equivalent USB-A. Something like this:
https://www.axagon.eu/en/produkty/acu-pq22 weighting 62 g. How much
would one expect to save from using GaN components?
The Apple iPhone 5W charger weighs 23g and has a power efficiency of ~75%. If power dissipation was the only factor then an 18W charger using more efficient components could theoretically be made the same size and weight, if it was 91.5% efficient (producing 3.6 x higher output power for the same loss). This efficiency might be achievable with GaN, but would it actually make the device that much smaller and lighter?
Power dissipation capability is mostly determined by surface area which is proportional to linear size squared, while volume and weight are proportional to linear size cubed. However the power handling capability of transformers and capacitors is more closely related to volume and weight because their electrostatic or magnetic storage capacity is determined by the amount of active material in them. Therefore a 91.5% efficient design could reduce the weight of some of these components by up to 20% because the input power is 20% less than in a 75% efficient charger.
Looking inside an Apple 18W charger we see that the largest components are the transformer and filter capacitors. Electrolytic capacitors are bulky but very light, so the main weight savings would be in the transformer, with perhaps some more in the PCB and case (assuming they can also be made smaller). But some other parts such as the mains plug and USB connectors cannot be reduced, so the overall weight savings would probably be less than 20%. If we assume a 15% weight saving then an 18W GaN based charger could be 10 g lighter than a 'conventional' design, ie. 52 g instead of 62 g.

2) Or let's say a typical powerbank at 20 000 mAh, input and output at
15 W, 3 A at 5 V as per USB-C PD, weighting around 360 g, like this:
https://www.anker.com/products/variant/powercore-speed-20000-pd/B1275011
How much (if anything at all) decrese in size and weight can one
expect from GaN components?
Here the weight savings could closely relate to increased converter efficiency because battery capacity is directly proportional to weight. However the efficiency of a 'conventional' converter can more easily exceed 90% at relatively small boost ratios (eg. 3.7V to 5V) than a mains converter which has to reduce voltage by a ratio of ~25-50:1. With higher initial efficiencies GaN devices do not offer as much advantage, so the savings are likely to be less. In a typical powerbank the electronics already only take up a small part of the case volume, so the possible size saving is also limited.
As to your link, the review is light on facts and makes dubious claims. The device is purported to be smaller "in part because of its use of GaN", but also because "the two separate 5,000mAh batteries... save space inside the chassis by stacking them on top of one another" which doesn't make any sense since total battery volume is the same no matter how they are placed.
Curiously the Anker PowerCore 10000 has similar dimensions, yet no mention is made of GaN technology. Looking at the opened case view it seems like they could have made it even smaller!
