As reported on Bechadrei (you can hear the audio clip there) an avreich went to Rav Shteinman with a dilemma. He has voted UTJ in all the elections since he became frum, but many years ago Rav Amnon Yitzchak brought him to becoming a baal tshuva. Now that Rav Amnon Yitzchak is running his own party, maybe he has an obligation out of gratitude to Rav Yitzchak to vote for Rav Yitzchak's party?

Rav Shteinman's answer, after everything was translated to and from Yiddish, was that A person should have more gratitude to Hashem. Meaning, you should gratitude to Hashem by voting UTJ and that is more important than the gratitude to Rav Yitzchak.

I would note that this is consistent with the brouhaha over Rav Shteinman giving Rav Amnon the go-ahead to open his own political party, and when confronted the explanation given was that because his party is not targeting voters from the traditional haredi parties but is looking to bite into the votes from secular paties then it is ok to open the new party.