I like the term "stakeholderism" although it is a mouthful. While it is still capitalism, the main distinction between stakeholder capitalism and traditional capitalism is that all stakeholders become shareholders, as opposed to just those who provide capital.
Since stakeholder capitalism addresses a weakness of capitalism, being the division and tension between labour and capital by making their interests more aligned, it is better to drop the word "capitalism" in the name altogether as the word carries that implicit division for many people.
LOL it is a mouthful.
Hard to have the division if labor is, for the most part replaced. The challenge with many of the solutions proposed is that government is put in the middle of it. To me, that is not an enviable choice based upon history.