In the links provided, and links from those pages, I could not quickly find any peer-reviewed research articles that show any benefit whatsoever of the "baby sensory videos". Without such evidence, the videos appear to be not beneficial for any age. I recommend not following recommendations of questionable sources, especially when they appear to contradict the scientific consensus, developed across multiple studies by multiple, independent research groups. Instead, consider the following guideline from the American Academy of Child and Adolescent Psychiatry (AACAP), that summarizes the current scientific consensus quite well:
Consider the following as a guideline:
- Until 18 months of age limit screen use to video chatting along with an adult (for example, with a parent who is out of town).
- Between 18 and 24 months screen time should be limited to watching educational programming with a caregiver.
- For children 2-5, limit non-educational screen time to about 1 hour per weekday and 3 hours on the weekend days.
- For ages 6 and older, encourage healthy habits and limit activities that include screens.
- Turn off all screens during family meals and outings.
- Learn about and use parental controls.
- Avoid using screens as pacifiers, babysitters, or to stop tantrums..
- Turn off screens and remove them from bedrooms 30-60 minutes before bedtime.
The American Academy of Child and Adolescent Psychiatry (AACAP): Screen Time and Children, No. 54; Updated February 2020: https://www.aacap.org/AACAP/Families_and_Youth/Facts_for_Families/FFF-Guide/Children-And-Watching-TV-054.aspx
(emphasis mine)