Do you suppose the removing of classic clips from the show's official website could be the start of a gradual removal of the show's official website?
If memory serves correctly, removing a website devoted to any particular TV show is likely done in phases. They take down some media first, then they delete some pages, and then the website is no more. This could most likely be due to redundancy, whether a show gets cancelled or not.
If the website devoted to "The Price is Right" were to be taken down, it would likely be due to cancellation or the producers opting to end the series due to a reduced budget. If the show was to go off the air in, hypothetically speaking, September, its website would start its phaseout sometime in August, beginning with the removal of some media, then pages gradually coming down, ending to the site's demise upon the show's final broadcast.
We all know that "Sesame Street" has been renewed through Season 55, so it's not leaving anytime soon. That said, I am just going to safely assume that redundancy and/or cost savings is likely a factor for the decision to remove some Sesame media and/or the show's website.