Edit: to clarify, I'm saying the greening thing already happened due to increases in CO2 levels (though it's possible this is due to heat and not CO2 itself, I guess?).
Imagine a higher CO2 concentration allows a tree to reach maturity a whole +25% faster, taking 16y instead of 20y. However its happening in an established forest, already bounded by mountains, rivers, etc, where mature trees sustain for another 100y before they finally die off and take 10y to decompose, opening the spot for a replacement.
In that case, the number of simultaneous trees doesn't go up very much, because the main effect is to reduce "downtime". The "duty-cycle" for a tree-sized patch of ground goes from having a mature tree ~77% of the time to ~79%.
So depending on which kinds of plants, you can both be right.
We will get a change in the mix of plant life.
https://www.sciencedirect.com/science/article/abs/pii/S09819...
www.igb.illinois.edu/article/stronger-drought-resistance-urban-vegetation-due-higher-temperature-co2-and-reduced-o3
Upstate NY was ideal maple syrup production territory for years. Now, we’ve changed from USDA Zone 5 to 6, so the region will be more like western Virginia in 20 years.
The abnormally rapid rise in CO2 levels we are seeing is unusual and accords better with the unusualness of rapid global greening. It isn't climate change that is causing it. It is CO2, directly.