Luckily, a new update thats rolling out now beefs the service up a bit and integrates it more with Gmail, Drive, and Calendar! Over the next week or week and a half, Workspace users will begin seeing a contacts local time and timezone, their working hours, any shared files between you and them, and their business relationship to you all directly on their contact card.

Source: Google Contacts begins evolving and becoming more useful as a CRM

I hope this can help with personal contacts too.