Chrome has the ability to switch between active tabs with Ctrl + PgUp and Ctrl + PgDn. Ctrl + PgUp switches to the left of the active tab, while Ctrl + PgDn switches to the right.
Made an account just to say that I am also frustrated at this missing feature as of the latest update. They also removed the DELETE to go back, in a previous update. It’s gotten to the point where I’m hesitant to update my browser client because they keep removing features that I use. Updates should be adding and fixing, not removing.