The speaker in the video argues that allyship should not be seen as grand historical gestures or large financial commitments, but rather as small, everyday actions that acknowledge and address systemic inequalities. They highlight that allyship involves understanding the different experiences people have, such as disparities in home appraisals or job opportunities, and being mindful of everyday interactions, like accepting corrections on name pronunciations or gender identities. The speaker encourages individuals to recognize their personal ability to act as allies through these daily actions, regardless of what term they prefer to use for allyship, such as support, love, or solidarity. The focus is on taking practical steps that bring allyship to life in everyday situations.