The “see also” field is just a line of wiki code in the page source, and there is no way for the API to know that it's different from any other piece of text on the page.
If you are happy with using only the English version of Wiktionary, you can fetch the wikicode: index.php?title=太&action=raw, and then parse the result for the template also
. In this case, the line you are looking for is {{also|大|犬}}
.
To check if the template is used on the page at all, query the API for titles=太&prop=templates&tltemplates=Template:also
Similar templates are avilable in more language editions of Wiktionary, in case you want to use other sources than the English one. The current list is:
- br:Patrom:gwelet
- ca:Plantilla:vegeu
- cs:Šablona:Viz
- de:Vorlage:Siehe auch
- el:Πρότυπο:δείτε
- es:Plantilla:desambiguación
- eu:Txantiloi:Esanahi desberdina
- fi:Malline:katso
- fr:Modèle:voir
- gl:Modelo:homo
- id:Templat:lihat
- is:Snið:sjá einnig
- it:Template:Vedi
- ja:テンプレート:see
- no:Mal:se også
- oc:Modèl:veire
- pl:Szablon:podobne
- pt:Predefinição:ver também
- ru:Шаблон:Cf
- sk:Šablóna:See
- sv:Mall:se även
It has been suggested that the WikiData project be expanded to cover Wiktionary. If and when that happens, you might be able to query theWikiData API for that kind of stuff!