The Science article (https://www.science.org/doi/10.1126/sciadv.aax1396 ) claims Leaf Area Index (same or different measure than the Nature study?) "exhibited a transition from increasing trends before the late 1990s to decreasing trends afterward".
So at first blush yes, but the details will doubtlessly prove otherwise.
If anyone has an institutional login and can post a pdf, please do.
NP supplementals show the data from AVHRR does trend upwards to the present data (agreeing with SP), but the other 3 metrics are trending flat (GLASS, TCDR) or downward (GLOBMAP).
I have neither the expertise nor inclination to delve further into the various methodologies of creating these various Leaf Area Indices.