If I recall correctly, there are a variety of stories that allude to prophecies about the destruction of 2 temples. For example, the Bereishit Rabba to 45:14 reads, " אֶלָּא אָמַר רַבִּי אֶלְעָזָר בֶּן פְּדָת יוֹסֵף רָאָה בְּרוּחַ הַקֹּדֶשׁ שֶׁשְּׁנֵי בֵּית הַמִּקְדָּשׁוֹת עֲתִידִין לִבָּנוֹת בְּחֶלְקוֹ שֶׁל בִּנְיָמִין וַעֲתִידִין לֵחָרֵב" and the Zohar seems to point to the inevitability of 3 temples.
I assume that these sources were known -- unless there is some explanation that they were not public knowledge at this time. So assuming their existence and dissemination, after the destruction of the first temple, did these stories have any effect on the people's interest in building a second temple (knowing that it was fated to be destroyed)?
I'm not asking about here anyone's reluctance to build the first temple though that might have the same contextual problem. I'm also not concerned here with anyone's reluctance due to more immediate prophecies related to the behavior of the Jewish people -- just to the pre-existing knowledge that there were already, on the books, prophecies that 2 temples would be destroyed.
So was there any impact on the drive to rebuild which can be attributed to a realization that another destruction had already been foretold?