I'm working on a PWA website. I'm currently working on the mobile version. And as expected in PWA, I try to be as native as possible so I plan to use a back button on the top left of the screen whenever I go a level deeper.

But as it's still web and people can land on a product page directly from google, I feel like I should add the website's logo next to the back arrow.

And that's where it feels weird. We don't see that kind of thing in native apps so I'm wondering i that's a good idea. What about the homepage? The logo should have the same position on all pages but I can't leave a gap on homepage since there is no back arrow.

What do you guys think? Whould it feel weird the have the logo next to the back arrow? I'm not using a burger menu.

Edit: Flipkart does that in their product page for instance.