How to reproduced : 

1 - Create a new page with : 

• An article with 2 videos in rich_text : 
  • A local video
  • A shared video
• A search service displaying articles

2- There are two cases depending on display order: 

Case 1 : 

Article and search service below 

=> Both videos are displayed in article but not in search service

Case 2 : 

Search service and article below 

=> Both videox are displayed in search service but not in article