Given our sun is a population I or heavy-element-rich star that'd almost certainly be the case ... the elements that didn't fall into our sun to make it so remained in orbit and are also heavy element rich (obviously relatively more so that the mostly H-He sun).

A Sun sized metal poor star wouldn't be surrounded by large amounts of orbiting heavy elements .. that would suggest even larger amounts failed to orbit and fell into that star.

( I'll freely confess to being decades out of date on the conjectured life of stars though, these days I mainly do geophysics related to astrophysics (cancelling out ground effects from SKA type projects) )