What about pressing trap?
Traps don’t affect your width, they affect the body positioning of your players opening up angles. So a trap outside encourages players to show opposition towards the flanks. And then with the right roles and duties you could try winning the ball there.
I find it more effective to use OIs to identify specific players to target and then apply things like show feet to show them away and hard tackle to make it harder for someone to dictate play.
Stop and Invite crosses do have the effect of adjusting your defensive width.