Does my Texture subscription carry over to Apple News+?

If you already subscribe in a publisher's app

News automatically checks your Apple ID for active subscriptions purchased as an in-app subscription in a publisher's app.

If any of your purchased subscriptions are also available in News, you automatically get access to that channel in the app.

Or you can cancel your subscriptions before you sign up Apple News+

Read here: About individual channel subscriptions in Apple News - Apple Support