Since the Temple built after the Babylonian Captivity did not conform to Ezekiel's vision (Chapters 40-42), why is what he wrote not considered a false prophecy? Chaim Clorphene in 'The Third Temple: Who Will Build It?' states: '. . . the sages who built the Second Temple, did not completely follow [Ezekiel]'s prophetic design, for they knew that the Second Temple would eventually be destroyed, and that [Ezekiel] was prophesying about the future, eternal Temple.' Is this the answer, and what are the sources which support it?
R Yehuda Shurpin at chabad.org writes, in a nutshell, that Ezekiel's vision applied to a Temple built after full repentance and for an everlasting redemption. However, since the Jews repentance was only partial, the redemption was only partial and the Temple wasn't built to be everlasting, e.g., it lacked critical components such as the Holy Ark.
In commanding Ezekiel to describe the dimensions of the Temple to the Jewish people, G‑d says:
You, son of man, describe the House to the House of Israel, that they may be ashamed of their iniquities; let them measure its plan. And if they are ashamed of all that they have done, let them know the form of the House and its scheme, its exits and its entrances, and all its forms, and all its laws and all its teachings, and write it down in their sight so that they keep the whole form thereof and the laws thereof, and do them.
The Sages in the Midrash explain that when Ezekiel heard this, he turned to G‑d and asked,
What is the point of saying this to the Jewish people if they are in exile and will not build this Temple now? Let me wait until they are redeemed and then I will tell them this prophecy.
G‑d replied: Just because my children are in exile there should be no building of My House?! [...]
As the Rambam already noted in Mishne Torah Bet Habechira 1:4
The building which Solomon built has already been described in I Kings. Similarly, the Temple which will be built in the future which is mentioned in Ezekiel, is not described clearly or completely. The people of the Second commonwealth built their Temple like Solomon's with some of the features described explicitly in Ezekiel.