Are Small Tables Tables to Screen Readers?

We have seen cases where very small tables either do not report as tables or whose headers are not communicated to AT. This appears mostly in 2 column tables.

Example 1: Two Columns No Headers

data column 1 row 1 data column 2 row 1
data column 1 row 2 data column 2 row 2
data column 1 row 3 data column 2 row 3

Example 2: Two Columns Headers Only One Data Row

header column 1 row 1 header column 2 row 1
data column 1 row 2 data column 2 row 2

Example 3: Two Columns Headers Caption

A Simple Caption
header column 1 row 1 header column 2 row 1
data column 1 row 2 data column 2 row 2
data column 1 row 3 data column 2 row 3

Example 4: Two Columns Headers Scope

header column 1 row 1 header column 2 row 1
data column 1 row 2 data column 2 row 2
data column 1 row 3 data column 2 row 3

Example 5: Two Columns Two Headers

header column 2 row 1
header column 1 row 2 data column 2 row 2
header column 1 row 3 data column 2 row 3

Example 6: Three Columns Headers

header column 1 row 1 header column 2 row 1 header column 3 row 1
data column 1 row 2 data column 2 row 2 data column 3 row 2
data column 1 row 3 data column 2 row 3 data column 3 row 3