Currently, Polygon cannot compete with BSC because BSC still has many conveniences that people can get. However, I think currently BSC and Polygon are both in the good category. If time after time Polygon is able to provide the best, then in the future Polygon may be able to compete with BSC.
anything can happen, considering that polygons are currently in the spotlight, especially the low gas cost compared to BSC is an advantage of polygons, it's just that the popularity of BSC is still very superior, Polygon still needs to work a lot if it wants to compete with BSC in the future , there is a need for new polygon-based projects that can make investors comfortable to linger in them.
If only Polygon had several advantages besides gas costs which were cheaper than BSC such as the ease of swapping tokens, then I can assure you that many investors will switch to Polygon. But something like that would take a long time. That's why I say at this time Polygon can't compete with BSC.