All other player attacks work to get resin from the creaking (potions, projectiles, tridents) but player owned dogs do not work. Dogs normally work just like other player thrown weapons so it should also work.
Also this is how it works in Bedrock Edition.

How to reproduce:

1. Place a creaking heart between two correctly aligned pale oak logs.
2. Execute the following command:

   /time set night

3. Wait for the creaking to spawn.
4. Summon a wolf and tame it.
5. Attack the creaking and watch your wolf attack it.

Expected result:

Resin would be generated around the creaking heart when the creaking is attacked by a wolf owned by the player.

Observed result:

Resin is not generated around the creaking heart when the creaking is attacked by a wolf owned by the player.