Is it possible that the Hebrew consonants' pronunciations don't align fully with their cognate consonants' pronunciations in Akkadian? This is certainly true among other Semitic languages, that there are drifts over time in the values of consonants.

Valid point, while cognatic kinship can be clearly established through afro-asiatic linguistics, that doesn't say anything about actual pronunciation. My comment wasn't meant as an absolute statement, but merely reflects the scientific consensus on the matter, i.e. how an assyriologist would read those characters in a transliterated text out loud. With cuneiform languages we're talking millennia, so of course there has been considerable variety (space) and change (time) in pronunciation, some of it reflected in writing, cf. Assyrian vs Babylonian dialects. I could imagine that ṣ pronounced as "ts" may have been inferred/validated for specific timeframes through variant "spelling", or maybe indirectly via e.g. Hittite or Old Persian, but that's just a wild guess.