Does the Use of AuxPoW Slow down the Block Production of the Primary Chain?

No, the use of Auxiliary Proof-of-Work (AuxPoW) does not slow down the block production of the primary chain. The process of merged mining simply involves including an extra piece of data (the secondary chain's block header) within the primary chain's block.

The primary chain's difficulty target and block time remain governed solely by its own hashrate and difficulty adjustment mechanism. The extra data is negligible in terms of computational effort required to find the valid hash.

In the Context of Options Trading, How Is the Relationship between Share Difficulty and Network Difficulty Analogous to “In-the-Money” Vs. “Out-of-the-Money”?
What Is the PoW Mechanism Called “Hashing”?
What Is “Merged Mining” and How Is It Related to AuxPoW?
How Is the ‘Target’ Hash Value Calculated Based on the Difficulty?
What Is the Difference between a “Block Header” and the Full “Block Data”?
What Is the Purpose of the “Compact Target” Representation in the Block Header?
How Does the Target Hash Value Relate to the Mining Difficulty?
What Is the Primary Difference between a ‘View’ Function and a ‘State-Changing’ Function?

Glossar