The bug
When you create an iron golem, snow golem, or wither, it doesn't matter which direction the head(s) you place are facing: the mobs will always spawn facing south.
By following this logic, building the pattern sideways or upside-down should also spawn them in these orientations. I'm obviously not asking for that; I'm saying that at least the directions you place the heads could be respected.
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Oh, I originally had searched for golems and not the Wither. Thanks 😛

But shouldn't this be reviewed? It never came to a developer and maybe it's not intended. I know south is the default rotation for everything as it is the "front", and there's a lot of bugs related to that. But isn't there a chance that this specific one could be an unintended feature?

Leaving it open for a dev to decide.

Thanks!

Still in 1.9.1-pre3

Still in 1.10
Can confirm for MC 1.12.1.

In 20w09a. Zombies converted to Drowned and Piglins converted to Zombified Piglins also only ever spawn facing south.

For rotation being reset after mob conversion, see MC-88967

Got it- In 20w10a

In 20w11a

In 20w12a

Can confirm for 1.16 Pre-release 4
Can confirm in 20w48a.
Can confirm in 21w03a.
Can confirm in 21w05b.
Can confirm in 21w06a. Video attached.
Can confirm in 21w07a.
Can confirm in 21w11a.
Can confirm in 1.17.
Can confirm in 1.17.1.
Can confirm in 1.18.2.
Can confirm in 1.19.

Can confirm in 1.19.1
Can confirm in 1.19.2.

Can Confirm in 1.19.3 Release Candidate 3, does not negatively affect gameplay much.

Can confirm in 1.21.4.
Edit: WAI per MC-8948.