Wrong. He specifically named the brands, touting their availability: Pfizer, Johnson & Johnson and Moderna by name from Trump.
P rules the world. Trump had to acquiesce.
There are many here is the first that came up
https://www.foxnews.com/politics/trump-coronavirus-vaccine-moderna-operation-warp-speed
https://news.yahoo.com/trump-touts-covid-19-vaccine-012446378.html
https://www.foxnews.com/politics/trump-coronavirus-vaccines-to-end-pandemic
https://www.cnbc.com/2020/08/11/trump-says-us-has-reached-deal-with-moderna-for-100-million-doses-of-coronavirus-vaccine.html
"I got the Pfizer"
Donald J. Trump