A lot of the WebOS UI/UX DNA ended up in Android generally and in Material Design specifically because Matías Duarte went to Google as Palm imploded. He was a VP at Palm and is now VP of design at Google.
Or that was the hope, but unfortunately a lot of what made WebOS good was the synergy between his team's excellent design thinking and the clean, practical, well designed platform underlying it. Android is a mess because it tried to reinvent the wheel everywhere from day one, and then Google took over. Which means barely 15 years later it carries multiple Windows' worth of legacy garbage. They've done some lovely UI design, but they have been unsuccessful making that type of work anything more than skin deep.
