Regular, norman lamm used his English name when writing Hebrew “torah” articles, so whatever he was called for aliyos is not really relevant. He identified with his English name, North Man, and it’s very telling that he did so
מצפון תפתח הרע.
Reines was a man full of fantasies if you read his post zionist writings; nor was he considered a gadol batorah by any stretch where his ideas can be reckoned with baaeli mesorah. Not only that, but where does reines say anything about there being other important things besides Torah or that secular studies are chas veshalom equal to it?
There’s no source for any of this dribble. The Torah is not missing anything; if you feel it is, אם רק נוא, מכם,! If someone thinks that the Torah is empty, or in lamms view, not full, then the chisaron is in them, not the Torah.