The eutectic and eutectoid points are quite similar ideas: both are about a homogeneous material that changes into a mixture of two solid phases as it cools. However, eutectic goes from a liquid to a pair of solid phases (liquid iron into the austenite and cementite phases in the example above), while eutectoid goes from one solid phase to two (austenite into ferrite and cementite).
If you wanted to use the same word for both points, then you’d need some other way of disambiguating them. Maybe the “austenite easy transition point” and “liquid easy transition point”?
The eutectic and eutectoid points are quite similar ideas: both are about a homogeneous material that changes into a mixture of two solid phases as it cools. However, eutectic goes from a liquid to a pair of solid phases (liquid iron into the austenite and cementite phases in the example above), while eutectoid goes from one solid phase to two (austenite into ferrite and cementite).
If you wanted to use the same word for both points, then you’d need some other way of disambiguating them. Maybe the “austenite easy transition point” and “liquid easy transition point”?