In my experience, ammo and bedding don’t present as just windage opening up. Bedding will usually be poor grouping in general and/or shots clumping up in different impact areas (doubling-ie three here, two there) Ammo is usually vertical spread or just not grouping.
Windage stringing is more likely head placement, trigger control/follow through, and/or natural point of aim issues (muscling crosshairs onto target). All of these can be exacerbated by improperly adjusted parallax, but parallax problems are worse inside the range parallax is set for, not nearly as bad beyond the range it’s set for.
Try shooting a three shot group without removing head from position and paying close attention to form and follow through (do you hold trigger to rear and stay in scope to try to see your impacts? If not, you should try to).
If the rifle in question did not do this with prior optics, try a known good scope. If the rifle is unknown, trying that scope on a known good rifle may confirm the scope is fine as well.
Often if I’m having issues with a rifle, I’ll take a bite of humble pie and have another shooter (obviously one I know can shoot well) shoot it.