Floating without good action bedding can make accuracy worse. Actions must be bedded correctly, preferably pillar-bedded, to achieve consistency.
Two of the "musts": 1. masking tape under, both sides, and ahead of the recoil shield. Remove it after hardening/removal. This prevents the action from "rocking" on the epoxy.
2. After hardening/removal, be sure that any blind receiver screw holes aren't filled with epoxy, preventing the action from being adequately tightened into the bedding.
Done right, I've never seen a bolt-action rifle shoot worse after bedding.
“God save us from people who mean well.”
― Vikram Seth