Is there actually a dilemma of whether or not to publish channel states for LN nodes?

I’ve heard that there is such a dilemma for LN: if channel states were not published, the payer will not able to find any viable path, unless he takes brute-force-like probing approach (which looks quite unscalable); if the channel states were meant to published, the economic privacy of LN users would be sacrificed.

Does such dilemma exist? If such idea is wrong, why?

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