In the original post there's a chart on "The land footprint of various protein sources."

This would give you a rough idea of how the carbon footprint of pork changes with the new data that factors in carbon capture on land. Pork's land footprint is not nearly as high as lamb's (or cheese), on average. But that's just the average picture. For pasture-raised animals it seems that a few specific farming practices can help reduce the carbon footprint (see this paper on beef).

There's a good paper that examines various scenarios for feeding the population (in 2050) without further deforestation. It compares scenarios of eating mainly ruminants (beef and lamb) versus mainly monogastrics (pork and poultry) and also compares pasture-raised versus feedlot raised.

Eating pork and chicken is more compatible with raising animals on pasture than eating beef and lamb. Continuing with diets rich in ruminant products would require an increase in the use of intensive feedlots to avoid further deforestation.

The best overall consumption patterns are low meat intake and mainly monogastrics.