Wolf does not use hostile appearance if AngryAt is set using "/data modify"

The bug

When AngryAt is set to a Wolf using /data modify, that mob would not use its hostile appearance. However, if there are other Wolves nearby, they would use the same appearance as expected.

How to reproduce

1. Spawn a Wolf and a mob that is neither a Skeleton nor a Rabbit.

2. Use the following command to set the AngryAt value of the Wolf:

   /data modify entity @e[type=wolf,limit=1,sort=nearest] AngryAt set from entity @e[type=<entity>,limit=1,sort=nearest] UUID

   /data modify entity @e[type=wolf,limit=1,sort=nearest] AngryAt set from entity @e[type=<entity>,limit=1,sort=nearest] UUID

   → ❌ The Wolf does not use its hostile appearance.

3. Repeat the previous procedure but with other Wolves around the mob.
   → ✔ The rest of the Wolves use their hostile appearance.