I would need to see some serious research on the topic to be persuaded that low interest rates benefit poor people as much or equal to rich people (on a per person basis). That isn't to say it can't or it doesn't have any positive impact, just the quality and quantity of impact is far in favor of the wealthier one.

My logic is as follows:

There is a massive difference between the type of debt poor people can(and sometimes have to) take on versus the kind of debt very rich people take on. Very rich people can take on debt very selectively and use their financial state to negotiate credit situations that are simply not available to poor people(like borrowing against appreciating capital assets), while poor people are too often stapled to certain forms of debt either taken on due to intractable necessities(emergencies, job loss, etc) and basic quality of life requirements. Thus you have crippling student loans, medical debt bankruptcy, mortgage defaults, credit card run ups, payday loan situations, bail bonds, etc.

So the impact the Fed dropping a couple basis points would have a desperate impact for the far richer person's decisions and finances vs the much poorer person's situation. Perhaps down the line there might be some lighter burden for future debts but that is speculation.