The Education store linked to above, shows the discounted education based prices instead of the regular ones.
In the case of the Apple Watch, the price in the education store is exactly the same as in the regular store, which points to it not being discounted.
The educational store I linked to was for U.S. yes.
Here is the Education Store for Ireland: https://www.apple.com/ie-edu/shop/buy-watch/apple-watch
Prices in Euro. Note the price is the same as in the regular store.
I believe the Higher Learning limitation for education pricing is only for Students. Teachers from all educational institutions and grade levels, and even homeschool teachers are eligible for Education discounts.
Apple Education Pricing
Available to current and newly accepted university students, parents buying for university students, and teachers and staff at all levels.*