Not always, and often not at all. Travel-style student cover is not the same thing as full private medical insurance. It is usually designed for specific emergency, travel-related, or insured-event situations rather than for unlimited routine treatment.
A separate healthcare product can work differently, for example through approved provider networks, local healthcare access, and domestic treatment structures. That is why one support answer cannot pretend every policy behaves the same way.
This article should help students understand the difference early, because it prevents many support misunderstandings later.