Stony shores are cold and coastal biomes, but they don't have a cooler water color, unlike snowy beaches. To reproduce, use a single biome world with "plains" (as a control), "stony shore" and "snowy beach" biomes, and only the snowy beach will have a cold water color.
MC-200634
Despite being a coastal biome, stony shores don't have a cold water color
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Community Consensus
1.16.3, 1.16.4 Pre-release 1, 1.16.4 Release Candidate 1, 1.16.4, 20w46a, , 1.20.2 Release Candidate 1, 1.20.2 Release Candidate 2, 1.20.4, 1.21, 1.21.1
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I can confirm in 1.16.3.