If Burger is at 2B, the Sox have 2 guys with versatility to play nearly everywhere on the field. Dramatically cuts down on the number of backups they need. The non-starters would be Harrison, Garcia, Engel and a catcher currently.
I will bet that the starting 8 are relatively inexpensive compared to the other playoff teams. This allows them to spend elsewhere. They don't have to spend exactly like other teams.
This FO has been pretty good at locking up young players to reasonable contracts.
With MLB going to a more balanced schedule is doesn't matter that he is out of the division. The Sox will see nearly as often as when he was with the Twins.