Some basic strategy splits are done only to reduce our net loss.
This we call "Defensive Splitting"
There is no "Defensive Doubling"
NOTE: Out of money, unable to re-split and / or double; he made a seriously egregious error.
NOTE: Even if he had another $600 to split he would be a fool to do so,
as he can't re-split ~ or ~ double, making the split a particularly dicey move.
NOTE: Even if he had another $1,800 in his pockets, issues of Risk Aversion
come into play as this $600 move involves too high a % of his cash in order
to create a hand where his expectation will be to lose a slightly
smaller amount — at too high a cost.
NOTE: IF there was Late Surrender available, he ought to do so — irrespective of the True Count.