Eero requires your name, phone number, and email address. They will record devices using the router, including device identifiers, nearby signals, IP addresses and basically everything short of “what” data or websites you are looking at, which they “promise” to not record.
“We may share some or all of your Personal Data with our subsidiaries, joint ventures, or other companies” and can use it to “Manage our business”. That's from their own legalese.
Personally I think that if that suits the customer, Eero devices are easy to set up and work well. If the end user is a techie type, there are better solutions that are self managed, and that do not have the same privacy issues.
They predate Amazon ownership and I know the developers. All your traffic goes over lines monitored by the government anyway... If you think you have privacy because you use tor or a vpn you’re mistaken.