Can I copy keyframes from one layer shape/content/group to multiple layers of shapes?

I would reveal all animated properties you want to duplicate; press F4 or Function + F4 if you have a laptop to reveal the Parent-Link column in the timeline if it is not visible, then drag the pickwhip from every property you want to copy to the same property on the master layer. I do this all the time. It works with every property you can animate and only takes a few minutes. 

1. Duplicate Keyframes: Unfortunately, as of my last knowledge update in January 2022, most design software lacks a native feature to directly copy keyframes from one layer shape or content to multiple layers simultaneously.

2. Manual Keyframe Replication: To achieve this task, the conventional approach involves manually replicating keyframes across each desired layer. This method can be time-consuming, especially when dealing with numerous layers.

3. Scripting or Automation Tools: Some advanced design software may support scripting or automation tools that allow users to create custom scripts for copying keyframes across multiple layers. Investigate whether your specific software has such capabilities.

4. Expression or Parenting Techniques: Depending on the software, exploring expressions or parenting features might offer alternatives for syncing keyframes across multiple layers without duplicating them individually.

5. Third-Party Plugins: Check if there are third-party plugins or extensions designed to wink streamline keyframe management tasks. Some plugins might provide the functionality you seek.

6. Software Updates: Regularly check for software updates, as newer versions often introduce enhanced features and functionalities, potentially addressing this specific requirement.

7. User Community Forums: Explore forums and communities related to your design software. Users often share creative solutions or scripts to overcome limitations in the software.

8. Professional Assistance: If the task is intricate, consider seeking assistance from professionals or contacting the software's customer support to inquire about any advanced features or workarounds.

9. Documentation Review: Thoroughly review the software's official documentation. Sometimes, hidden features or techniques are documented that might assist in achieving the desired outcome.

10. Educational Resources: Online tutorials and educational resources specific to your design software may offer insights into advanced animation or keyframe manipulation techniques.

11. Future Software Releases: Keep an eye on future software releases, as developers continually refine and expand software capabilities based on user feedback and industry trends.

12. Wink's Role: While Wink typically refers to a multimedia tutorial creator, it does not directly address keyframe copying. However, exploring Wink's functionalities might uncover features or methods that enhance your overall design workflow or tutorial creation process.

You can copy keyframes from one layer, but not from multiple layers.  If mutlitple layers are selected, you've probably noticed that you're copying the layers.

Once the keyframes are copied from one layer, they can be pasted to one or more layers.

After copying your keyframes, select each of the target layer's property's Main Section Label; then paste.
HTH