Repro
- Ensure that at least two shipping methods are configured active (shipping cost > 0)
- Add a product to the cart
- Open cart
- expected shipping cost is included in grand total; shipping total is visible in totals summary
- actual shipping cost is included in grand total; shipping total is not visible in totals summary
That behaviour was introduced in 2019 (ad2d3b3#diff-441de581123fb1e95f58a45c0377a5b1eb86febb07842048ef90f7bd2fc56536). Maybe this commit worked as intended two years ago, it seems to me that currently those changes lead to an inconsistent totals overview in cart when multiple shipping methods are enabled.
I would recommend to remove lines 180-186 (https://github.com/shipperhq/module-shipper/blob/main/src/view/frontend/web/js/model/shipping-service-mixin.js#L180).