I think some of the reasons for the differences are described in the posts below (though there may be others on the forum, these were just the ones at the top of my search):
https://forum.inaturalist.org/t/identifications-count-is-different-from-my-profile-and-when-you-click-identifications/23000
https://forum.inaturalist.org/t/count-identifications-of-casual-observations-in-a-users-tally-on-observation-detail-page/4123
https://forum.inaturalist.org/t/what-counts-towards-a-persons-identification-counts/4165
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