Prototype
It can be a clickable mock-up or a manually operated service. It does not need a production backend. Its value is a fast answer to a design question.
MVP
It operates in a real context and delivers value to a selected group. It must be stable, secure and measurable enough for user behavior to be credible.
The common trap
Building a production system to answer a question that a two-day prototype could resolve. Match experiment cost to the value of the uncertainty.