[Bug] Skin issue when used with ETF and Xaero's Minimap/World Map

[MATRIX-feather]

Describe the bug
When EMF is used along with ETF and Xaero's Minimap/WorldMap, the client player's skin is applied to every player entity in the world after reloading resourcepacks (F3+T)

To Reproduce

1. Connect to a server
2. Enable Player skin features
3. Wait for the first resourcepack reload
4. Go back, do the second reload
5. Other player entities now display the client player's skin

Expected behavior
Other player entities will display their skin instead of the client player's.

Video about this issue
https://youtu.be/DXLUioUhzMs

Crashlog
latest.log: https://mclo.gs/HDg2wpu

(please complete the following information):

• Minecraft Version: 1.21.4
• EMF version: 2.4.1
• Does the issue persist with only EMF installed? -- sort of?
• Mods:
  • Entity Model Features 2.4.1
  • Entity Texture Features 6.2.9
  • Fabric API 0.114.0+1.21.4
  • ModMenu 13.0.0-beta.1
  • Xaero's Minimap 24.7.1
  • Xaero's WorldMap 1.39.2

Additional context
This issue doesn't seem to exist when only ETF is installed, so I guess this is an EMF issue?