As of Jun 29, 2024 the URL for YouTube History Search is https://myactivity.google.com/product/youtube?q=your_query
I did not invest time in researching the official announcements on YouTube, just a basic googling. The top result for me of querying youtube search history url was View or delete your YouTube search history as the top result. Your mileage might vary.
Considering this, it looksseems plausible to me that the URL you referred to, https://www.youtube.com/feed/history, is a legacy"legacy" URL.
Notes:
You might use the web browser developers' tools to analyze how web browser (client) and YouTube server communication works. You should look for the type and parameters of HTTP request, i.e., YouTube be using a non-standard GET request by including data on the request options or instead of a single request there might be some orchestration to handle multiple requests.