Yep, fresh tomatoes fall under chapter 7 of the HTS - “Edible vegetables and certain roots and tubers”. Pretty much every country uses the first six digits of the HTS code, so at some point the WCO (World Customs Organization - the ones who manage the HTS) agreed with that idea.
Also, in their Explanatory Notes for chapter 7, they say this:
" In headings 07.09, 07.10, 07.11 and 07.12 the word “vegetables” includes edible mushrooms, truffles, olives, capers, marrows, pumpkins, aubergines, sweet corn (Zea mays var. saccharata), fruits of the genus Capsicum or of the genus Pimenta, fennel, parsley, chervil, tarragon, cress and sweet marjoram (Majorana hortensis orOriganum majorana)."