I found old tickets (see Bug History below) on this matter that were marked Invalid or Incomplete. So here is a more detailed ticket.

Observed Result:
Zombified Piglins do not try to destroy Turtle Eggs
Expected Result:
Zombified Piglins try getting to Turtle Eggs to destroy them.

Steps to Reproduce (skip a few if in Creative):

1. Enter a world or realm where the gamerule Mob Griefing is ON
2. Breed 2 turtles using Sea Grass (shears or silk touch)
3. Once the turtle lays eggs, use a tool with Silk Touch to collect them
4. Go to the Nether and find a Zombified Piglin (a.k.a.: Zombie Pigmen)
5. Place the eggs near the mob
6. Watch as the Zombified Piglin ignores the egg entirely

Bug History:
This bug have been reported in Bedrock version 1.16.221 Hotfix (MCPE-127710) and PS4 version 1.93 (MCCE-10064). I discovered this on Bedrock version 1.19.20 today on Xbox. However, it's worth noting the history of this issue.