Plus, the one major caveat I would add to both charts is that the English Football League changed to the 3-point win scheme in 1981-1982 season, so I have no idea how that would influence the points per game calculation to make a true all-time table. OP’s table, provided from the link in this post, calculates the points total using the 3-point scheme.
Table when organized by Points per Match
1.553 - Sheffield Un
1.546 - West Brom
1.502 - Leeds
1.500 - Middlesbrough
1.492 - Leicester
1.488 - Birmingham
1.474 - Wolves
1.450 - Norwich
1.442 - Blackburn
1.438 - Burnley
1.430 - Derby
1.418 - Fulham
1.417 - Preston NE
1.402 - Sheffield W
1.396 - Stoke
1.385 - Cardiff
1.367 - Nottingham F
1.352 - Blackpool
1.340 - Millwall
1.316 - Hull
1.308 - Charlton
1.306 - Bristol
1.301 - Grimsby
1.261 - Barnsley
Something interesting to compare between this link and the EPL All-time Table would be the least successful Championship team to have ever played in the EPL - Northampton Town!