TBH, all they really need are some dynamic planetary growth modifiers.
IE, if the planet has really high stability, you get a +X% to growth, since historically birth rates plummeted in times of social unrest. If you have Y pops on a planet you get a +(Y/Z)% bonus to growth since obviously having more pops means more new pops. If you're missing housing/amenities, you get significant -Q% debuffs to growth. If a pop has low habitability, they get a malus to growth. Obviously you have to combine this with the 2.2.5 changes such that relatively low habilitability races grow less often. So if you've only low-habitability pops on a world, growth will be slow, but if you've several pops, one of which has high hab, it will grow relatively quickly.
The growth slowdown that's currently happening on earth is a product of higher education and the subsequent drop of utility of child labor. In places where child/uneducated labor is still valuable, the population is still booming. There's not really a good way of showing this, since Stellaris has as its baseline the creation of a massive, galactic economy which would completely throw all dynamics out of whack.
Anyway, with a few modifiers like this, we'd be able to see the "A Few Big Planets" playthrough finally gain some traction, I think.