While I doubt a Russian official demise is part of the China playbook, sidelining is less a blood sport in the PRC.
His shunting aside as Premier and member of the Standing Committee before age 70 is most likely about differences on handling the economy with Le Keqiang more of a supply side, cut taxes, trickle down, deregulation sort of view and President Xi with an opposite view that is leading global businesses to exit China as they're not all exiting for near- and on-shoring and avoiding supply disruptions but due to geo-politics and how unfriendly it is to do business there these days.
Also, I'm sure ending covid lockdowns led by Li didn't help. We saw how fragile China's social harmony was during the protests of lockdowns and China quickly ending these after it was clear with XI, they would not do so.
I'm not a supply side as trickle down hasn't worked since the days when rich folks did open businesses and employ people.
https://www.politico.com/news/2023/1...-died-00123912