I hate their “new” tabs that tries to categorize emails. It’s just extra clicks to get to the emails I want. It’s forced me to go back to a dedicated email app.
Enabling/disabling tabs via "Configure Inbox", or through Settings > Inbox > Categories does not effect the ability to snooze. The only thing it effects is whether emails are sorted into different tabs or not.
Tabs were not something just introduced in the new UI, the have been in Gmail for 5 years. You can turn them off in settings, or drag and drop emails into different tabs to train it. Gmail has a very high degree of customization and available settings.