I'd say Dewey's subsequent views of Warren show it is quite
unlikely.
"Another justice [besides Brennan] who 'just changed on us' was Earl Warren, who gave Brownell what Bryce Harlow calls 'an absolute assurance' that be would be a conservative chief justice. He proved anything but, and Dewey was appalled. He came to regard Warren as Eisenhower's greatest error, a judicial wrecker who pulled out the very underpinning of what war designed to be a conservative-to-moderate administration Before he died, Dewey took to calling his onetime running mate 'the big dumb Swede." Richard Norton Smith,
Thomas E. Dewey and His Times, p. 608.
"Like Thomas E. Dewey, who turned down the Chief Justice position that Warren accepted, Warren was a tough ex-prosecutor—not an appointee who seemed likely to author opinions expanding the rights of criminal suspects and defendants. In large part because of his stance on criminal justice. Had either of these two surprising votes proved less surprising, the Court might have adopted the stance Dewey himself probably would have taken had he held Warren's job: pro–civil rights in race cases but tough on criminal defendants."
https://books.google.com/books?id=nEHgwemq0nYC&pg=PA243