You are comparing apples to oranges here. These are two completely different things.
Image the labour share of GDP could be a constant 100%, but perhaps the top 1% of workers (eg CEOs) get all the rewards and the other 99% get nothing.
(That's not meant to be realistic, just to illustrate that you can have a very unequal distribution despite a high or even growing labour share of GDP. No opinion expressed on whether the statistics you cite are any good.)