No, in Gmail the inbox in red is the default and shows how many emails you've got in all, not unread emails only. You have to go to the dropdown menu for those. The first line of unread emails is bold black. 😉
Perhaps one can set it. Google changes so often, that it is ages since I even looked at my settings. My inbox shows about 2500 emails and all have been read (if not replied to :().
I need a break. I am not going to say how many emails I have in my account (thousands), but you are right - the red inbox is the unanswered ones. She hangs her head in shame and walks away. If I were a dog my ears would be down and my tail between my legs . . .