As this model contains prominent intersecting planes, the current behaviour may be intended as per MC-96463.
Note how the thorn being targeted (that the crosshair is on) in the first screenshot does not appear in the same position on the other side of the plane in the second screenshot.
Fixed cross models attached.
Linked issues
is duplicated by 2
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Comments 11

Pretty sure that's MC-129108
Yeah my bad, you are correct
I can confirm for 20w46a.
Can confirm in 20w51a.
Can confirm in 21w05b. I do agree that fixing this would result it those models looking more "ugly". This is just my opinion, however.
Can confirm in 21w06a.
May relate to [MCPE-40646] (which is the opposite of this issue).
Don't chains also have a "cross" model? Their mirroring issues were fixed.

Yes and no since each plane's texture differs.
I can also confirm this same thing happening with the spines of cacti. I'm not sure if this falls under the same report as this one, but if you don't think so, feel free to create a report for that