Major stars are not distributed independently into arbitrary boxes. Traditional Zi Wei Dou Shu arranges them in two systems, each with fixed internal spacing.
Tian Ji and Wu Qu belong to the Zi Wei system. Their relative positions prevent them from sharing a natal palace under the standard arrangement. Changing the starting position does not remove that spacing.
By contrast, Tai Yang and Tai Yin belong to different placement systems and can share certain positions. Tian Ji and Tai Yin can also form a genuine double-star combination. Similar names or compatible descriptions do not determine which pairs are possible.
Discussed together is not the same as placed together
A reading may discuss stars in different palaces because those palaces are being compared. That does not turn the stars into a same-palace pair. Borrowing an opposite palace's major-star interpretation likewise does not physically relocate the stars.
On a crowded screenshot, trace the box boundaries first. Then compare the article's wording: same palace, opposite palace, a trine connection, and flanking palaces describe different arrangements.
Interpretation leaves room for debate. A claimed placement should still be reproducible. Before accepting an elaborate personality description, check that the combination the article names can actually exist in the chart being discussed.