I don't know. Would we have called prior software "internet wrappers" or "rest api wrappers"?
I see it that I have a problem, someone solves that problem. I pay $$ per month. Everyone is happy.
I'd say "solution" or "product" and not get stuck on the technical details (for/to which I agree with you but 90% of the people don't care).
When you buy milk you don't buy liquid+container+shipping, you buy food. You consume the food. Belly feels nice. See you tomorrow for another bottle.
Internet (and/or browser) :: website or webapp
is not the same as
OpenAI/Antropic/model company :: GPT wrapper
There is a substantial qualitative difference, at least at this point.
On the other hand, ChatGPT can easily help me write content (Jasper/CopyAI) or do company research or write an outreach email (AI sales tools)