Does the Pool’s Hash Rate Influence the Difficulty of the Individual Work Assigned to Miners?

Yes, the pool's hash rate influences the pool's target difficulty for shares, which is the individual work assigned to miners. The network difficulty is fixed by the blockchain protocol, but the pool operator sets an easier target difficulty for shares to ensure miners submit work frequently.

A larger pool with a high hash rate may set a slightly higher share difficulty to reduce the volume of shares, optimizing server load, while still ensuring fair measurement.