The article could use some updating from its publication a little over a year ago....
1) Although Super Earths are more common than Earth-sized planets (a little more than 2x more common), it is Mini-Neptunes that are the most common, 3x more so than Earths. About 1/3 of all exoplanets of know radii (3969 of 5535) are these Mini-Neptunes; (625 of 5535 are Super Earths). [Uses 1.9x Earth rad. to 3.1x as Mini-Nep.]
2) Also, there are more known Mini-Neptunes orbiting M-type stars (mostly red dwarfs), not Super Earths.
3) We don't have a lot of data that includes both the star type and radii to get a clear picture yet. Only about 1000 exoplanets include both.
But the arguments the article makes favoring larger planets are worth noting:
1) Larger planets found in the HZ are very likely more massive, thus more likely than not to have a large iron core producing a protective mag. field. [Earth got lucky when Theia donated its iron core when impacting Earth and bumping our rpm.]
2) The idea that they would have shallow oceans is interesting, but if correct, could be important to life because lots of shorelines may be important, and having light reach the bottom may be important, as noted, as well.
3) Larger atmospheres are likely that help keep the planet warm enough for liquid water should be helpful, but not always.
4) Tectonic plate activity would be more likely on more massive planets, but radioactivity is also important to generate necessary heat. The older red dwarfs, I think, might be Pop II stars that might have less concentration of radioactive elements.
The long-life of the red dwarfs seems important to give life more time to develop, but more and more, red dwarfs are found to be constantly throwing tantrums -- large flares and storms that would likely be detrimental to evolutionary life forms.
Of all exoplanets, there are only 153 known that are in HZs (+ or - 10% beyond the calc. zone). Only 10 of these are Super Earths. There are 14 of these that are Earth-sized, so I'm unclear where their data is coming from.