So my G Suite Gmail went from this...
Unfortunately there is no setting in G Suite to disable logo display. There is a way around this however. Simply download a 1x1 pixel transparent image from here and set that as your logo! This is done in the G Suite Admin console, inside the 'Company Profile' section, under 'Personalization'. Select 'Custom Logo' and upload the transparent image file. Google's logo will now disappear.
You can still click this transparent image, same as before. In Gmail this will get check for new emails for example.