I've been asked this question a thousand times and digitec recently answered it again: https://www.digitec.ch/de/s1/QuestionAndAnswer/haben-diese-geraete-immer-noch-ein-swisscom-branding-logo-32122

It always says exactly what the phone will look like. Simply read the product description correctly. And of course all the data is gone and the phone is reset.

No, this is also stated in the specifications.

You can use it in the US. But the phone has to be activated first (5min call) with an european SIM (Region lock).This is to prevent the direct import into countries it's not supposed to ship.

because action

All devices no longer have any branding.

The current devices no longer seem to have any branding. To be sure and also to get a quicker answer, contact the customer service. digitec@digitec.ch +41 44 575 95 00

We are interested in the mentioned versions of this unit. However, we cannot guarantee that we will be able to offer these units. If this should be the case in the future, the devices will be available in our online shop. We cannot tell you whether you can send the smartphone directly to the manufacturer in the event of a warranty claim. As a rule, service centres selected by the manufacturers are responsible for warranty cases, in this case Mobiletouch.