No.
This was still only the beginning.
One would think that with more Immortal Rings, it would also take longer to complete the Immortal Ring Realm. But, this line of thinking neglected a very important fact, and that was the resonance portion of forming an Immortal Ring.
After entering the Immortal Ring Realm, cultivation wasn't just about consuming more qi, though this was in part the case. It was also about deepening one's connection with the Heavens, allowing you to sustain larger and larger Immortal Rings.
One had to understand exactly what it meant to control atmospheric qi. You were essentially taking something of the Heavens. The only way such a thing would be allowed would be if you were recognized by the Heavens themselves.