Chains are rated for specific use. Our shop is required by our insurance company to use only grade 80 or grade 100 chain for any overhead lifting. We also have some super heavy recovery straps that are rated for tens of thousands of pounds. However, they are very expensive and a job will be lost if someone uses one of those and it gets cut by any sharp edge. For a loader, the leading edge of a FEL bucket would certainly count as a sharp edge and can easily cut a very heavy duty strap when under pressure.
Depending on what you're doing and what capacity your lifting machine has, the appropriate grade 80 or grade 100 chain is what OSHA and insurance companies would tell you. As our insurance agent says, a failure in such a situation is costly at the minimum and all too often fatal. So you decide. An appropriate strap can lift an entire semi truck, but if the strap encounters a sharp edge, you'd lose your strap, semi, and whatever was under the semi. Now we don't have a really big shop, but all our overhead gantrys have 1/2" grade 100 chain.