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Yes, your distinction is correct @karanv_10111. Fundamentals compare the expected P/E to it’s actual current P/E ratio, whist comparables compare the ratios with similar firms in the industry.
And yes, your explanation on lower multiples in comparables valuation is correct. Assuming all else is constant (and the same), a firm that has higher P/E than its industry average is considered over valued, and vice versa.