I can't answer the question of whether it is settled,
but I think it is a mistake to ban tabular as a child of
figure.
There is the classic form of table, which tends to be
a large grid of numbers. Style guides make recommendations
about that case, and such a tabular should be in a table.
Then there is the form which is common in math textbooks:
two columns of numbers representing input and output
values of a function, for example.
I think the latter (but not the former) is reasonable as a
child of figure. I also thought this was discussed extensively and
we reached an agreement on that. But, I may be mistaken.
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