Their approval among there base of shias has only gone up since the conflict started, there approval among non shias has remained constant. Your assuming that Lebanese view the situation as western media portrays it with hezbollah as terrorists and the ones to blame for the destruction but:

Seventy-eight percent of Lebanese respondents said Israel’s onslaught of Gaza was a “terrorist act”, while only 11 percent viewed Hezbollah’s attacks on northern Israel as “terrorism”.

This jump in approval among there base is despite them being in government and a horrific economic situation in Lebanon, that’s how much the shia in south Lebanon hate israel and its genocide in Gaza.