I think Thomas is different enough from Ta’oma to be more Greek than Aramaic.
For example, you’d say that Erzsebet is Hungarian even though the origins of Elizabeth are Hebrew, because it’s an international variation of that original form.
[name_m]Thomas[/name_m] is a Greek name of Aramaic origin. That does not make it Aramaic.
It’s like if we take a look at the word “number”. It is originally from the Latin numerus and we came to use it via the Old [name_u]French[/name_u] nombre and then the Anglo-French noumbre. That does not make “number” a Latin or even a [name_u]French[/name_u] word.