HaKatan, you keep bringing those who disagreed with RYBS and he would agree with you (as he answered the question whether his secular learning interferes with his Torah learning, he replied – when other T’Ch learn, I learn; when others tell lashon hora about me, I study philosophy). But, as mentioned, R Kotler’s position was somewhat nuanced.
I came up to seemingly a factual story – when Rav initiated Talmud Class for college girls in the 1970s, R Schwab and some other Rabonim were considering a cherem and wanted to have R Moshe onboard. Some of Rav’s students went to R Moshe hoping to explain that they are not initiating “new reform”, R Moshe dismissed their defense and said “r Soloveitchik’s teaching approach does not require my defense”. Cherem did not materialize. Seems that we can learn from this
(1) R Moshe respected RYBS’s approach even if it was different from his. Possibly because they were addressing different audiences.
(2) R Schwab and others maybe did not like RYBS’s approach but did not consider him a heretic at least until 1970s (and RYBS was a public figure from 1930s).
(3) a harrowing lack of communication between the gedolim from my perspective. Why didn’t they get in the same room or a conference call and discuss all views and implications?