What if most of your information is online, in some cloud platform and you don't have the app installed on your phone? My iPhone isn't logged into any cloud se

What if most of your information is online, in some cloud platform and you don't have the app installed on your phone? My iPhone isn't logged into any cloud services and the only apps I have installed are Google Maps and Gmail. I don't log into my Apple account and don't have the Dropbox app installed. Much of my data is stored in an S3 bucket. Simply giving an officer my phone means I'm surrendering my Gmail account and local phone data i.e. contacts and reminders. Not terribly worried about that. To really investigate my digital presence they'd need access to my Dropbox, AWS account, personal email etc. Can they request that information despite not having any trace of it on my phone. How deep do they go?