What "imbalance"? It is disingenuous to equate the two political situations as the same:

1. Palestine is a settler-colony of Israel, where the Israeli-right currently in power is conducting a genocide of Palestinians in Gaza ( https://www.btselem.org/publications/202507_our_genocide ) while continuing to steal their land and deny them basic rights. ( https://www.aljazeera.com/news/2023/11/6/who-are-israeli-set... ). The oppressors and the victims are clear in the Israel - Palestine conflict, and thus it is easy to take a firm moral stand supporting one over the other.

2. What is happening in Iran is either (at best) a power struggle and violent conflict between two groups - the supporters of the Ayatollah and the supporters of the Shah (backed by the west), or (at worst) the start of a civil war. In this case, apart from sympathy for the victims of violence on both sides, it is hard to take a firm political stand for one side because both have a tainted record. (How The CIA Overthrew Iran's Democracy In 4 Days - https://www.npr.org/2019/01/31/690363402/how-the-cia-overthr... ). Note that these so-called "revolutionaries" in Sri Lanka, Bangladesh and Nepal too went on a rampage when law and order collapsed there, looting killing and doing senseless destruction ultimately destabilising their whole country. (Now Bangladesh is conducting a farce "democratic" election that deliberately excludes a major political party, the Awami League, because the so called "revolutionaries" fear that they will not be able to defeat them electorally. Something similar happened in Ukraine too). When both sides choose violence to capture power, and are hell bent on excluding the "other" from any future "democratic" setup, who really is the one with the "democratic" values and the real victim?

There is no doubt in my mind that the stand of the west (US / UK) here is totally hypocritical (and morally repugnant) if you praise the opponents of Ayatollah as "freedom fighters", while with the same breath you denounce the Palestinians as "terrorists" for daring to fight their Israeli colonial masters for freedom!