BY1212, a fair question. I indeed do not advocate blindly following authorities and I don’t think r Soloveichik did also. I brought his opinion to show that at least in some cases, he would rely on Israeli government opinion. I saw in a sefer of his letters and articles, not a maase. I think I can support your skepticism with another story.
One of the founders of student movement for soviet Jewry asked several gedolim for an advice. R Feinstein, LR, R Teitz all advised against public actions, mostly being afraid that commies will make things worse for Soviet Jews and possibly for protesters themselves. R Soloveichik also advised against, after first consulting someone in Israeli government. After the students started protests anyway, one of them asked R Soloveichik again why Rav is not repeating his position. Rav responded that he changed his opinion after he realized that his advisor mislead him. Rav asked him “what is best for Soviet Jews” and the advisor gave his advise based on “what is best for Israel” (i..e. desire to negotiate with Russians, etc, similar to current Russian war on Ukraine). Rav held that in a situation of pikuach nefesh, one should focus solely on what is best for the people in danger.
I am not sure about timing, but it sounds that second story happened after the first, so maybe we can conclude R Soloveichik reduced his reliance on government – at least when there is a reason to suspect wrong motivation.
But, I think, we can still learn from this that (according to R Soloveichik’s opinion that not everyone holds by), it is permissible to rely on Israeli experts under some circumstances.