What the phrase tends to describe
In most advertising, same-day refers to a temporary restoration being fitted at the same visit as implant placement, so a patient does not leave without teeth. It does not usually mean the final restoration is finished that day.
Treatment continues afterwards. Healing, review appointments, and the final restoration are separate stages regardless of what happened on the first day.
What this clinic publishes about timing
This site does not publish a standard surgical protocol or a promised timeline for implant treatment. Healing time and the number of visits vary between patients, and stating otherwise on a webpage would be describing someone else's mouth.
For a single tooth and for full-arch treatment alike, the sequence is set out at a planning level and the specifics come from your own examination.
Questions that cut through the marketing
Ask what will actually be fitted on the day of surgery, and whether it is temporary or final. Ask how many appointments the plan expects after that, and what happens between them.
Ask what would change the timeline. An honest answer will include conditions rather than a fixed date.
Timing is part of a personalised plan, not a feature that can be promised in advance. An examination is where that conversation starts.