Running tally
What you just did has a name
Rotating a node in a phylogenetic tree — swapping which clade sits on top at any internal node — produces an equivalent tree. The relationships are identical. Only the drawing changes. If you answered by visual proximity on the page, the rotations would flip your answer; if you answered by tracing back to the MRCA, they never would.
Sister taxa are defined by a shared most recent common ancestor —
depth(MRCA) — not by how far apart their names are printed.
Crocodiles and birds are each other's closest relatives on the vertebrate
tree. They share an archosaur ancestor that is nested deeply inside the
"reptiles." Hippos and whales share an artiodactyl ancestor that
post-dates the fish split; whales are nested tetrapods that happen to
look fish-shaped. Convergent morphology is not ancestry.
The only things that cannot change without altering a tree's meaning are (1) which taxa share an MRCA, and (2) the relative depth of each internal node. Rotate any branch at any node — the tree means the same thing. That is the whole of "reading trees."