Pope replaced his captain after 36 minutes against Crystal Palace in Gameweek 4 after Heaton's shoulder injury.
He has since earned 113 in the BPS at a rate of a point every 3.66 minutes.
That is more frequent than any other goalkeeper, ahead of David De Gea (£5.6m), who ranks second with a BPS point every 3.77 minutes.
Significantly, Pope's rate surpasses that achieved by Heaton last season.
The Clarets No 1 gained 21 bonus points in 2016/17, a record for FPL goalkeepers, and ended the season as the top-scoring goalkeeper on 149 points.
But he earned a BPS point every 4.2 minutes during that campaign.
Saves and recoveries, where a player gains possession of the ball when it has gone loose, are the key metrics for goalkeepers in the BPS.
Pope is excelling in both areas.
Despite conceding, he earned a single bonus point in Saturday’s draw with West Ham United after 12 saves and five recoveries.
He has made a save every 18.8 minutes, more frequently than any other goalkeeper.
The same applies to recoveries, with Pope recording one every 7.0 minutes.
|Heaton 2016/17||Pope 2017/18|
|Minutes per BPS||4.2||3.66|
|Minutes per save||22.1||18.8|
|Minutes per recovery||8.8||7.0|
Again this is outperforming Heaton’s record-breaking 2016/17 campaign.
Pope will be expected to make way on his skipper's return but until then he can be a successor to Heaton's FPL crown.