Completely it will.
611.3c Steady results that modify traits of permanents achieve this concurrently with the everlasting coming into the battlefield. They don’t wait till the everlasting is on the battlefield after which change it. As a result of such results apply because the everlasting enters the battlefield, they’re utilized earlier than figuring out whether or not the everlasting will trigger a capability to set off when it enters the battlefield.
Instance: A everlasting with the static capacity “All white creatures get +1/+1” is on the battlefield. A creature spell that will usually create a 1/1 white creature as a substitute creates a 2/2 white creature. The creature doesn’t enter the battlefield as 1/1 after which change to 2/2.
Threefold Thunderhulk will enter with three +1/+1 counters on it, and additionally get the +1/+1 from Anthem of Champions, that means that it enters as a 4/4 creature, and so when its enters set off resolves you’re going to get 4 token creatures.
Even when this weren’t the case (e.g. if the anthem impact had been utilized as some form of state-based motion) then it will be fantastic – Thunderhulk is already on the battlefield as soon as the set off resolves, so it is going to undoubtedly have 4 energy at that time. Nonetheless, it does imply that Thunderhulk will set off, for instance, Garruk’s Rebellion, which says
Every time a creature you management with energy 4 or better enters, draw a card.
as a result of its energy is the same as 4 because it enters which would not be the case if rule 611.3c labored in another way.