Do commentaries maintain that Universal monarchs and Buddhas can't exist simultaneously?

The Story of Kāla, son of Anāthapiṇḍika [Verse 178] (wisdomlib.org))

The tradition states that no two of them will appear in the world at one and the same time. A Buddha will not appear when a universal king reigns, nor will a universal king arise when a Buddha has appeared on earth.

I was reading this passage and was rather surprised to see that the tradition maintains that Universal monarchs and Sammasam Buddha’s can’t exist simultaneously. I know the suttas say there cant be two universal monarchs and Buddhas at the same time in the same world system, but i’ve never heard of a universal monarch disqualifying the possibility of there also being a Buddha. Is this actually in the commentary or is this just a bad summary on the part of wisdomlib?

If thats the case, this seems like a contradiction of the Cakkavatti sutta where the universal monarch of the time of Lord Metteya is supposed renounce his throne and ordain under him.

Here, I think we should trust the Cakkavatti sutta more.

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Cakkavattisutta

And the Blessed One named Metteyya will arise in the world—perfected, a fully awakened Buddha, accomplished in knowledge and conduct, holy, knower of the world, supreme guide for those who wish to train, teacher of gods and humans, awakened, blessed— just as I have arisen today.

He will realize with his own insight this world—with its gods, Māras, and divinities, this population with its ascetics and brahmins, gods and humans—and make it known to others, just as I do today.

He will teach the Dhamma that’s good in the beginning, good in the middle, and good in the end, meaningful and well-phrased. And he will reveal a spiritual practice that’s entirely full and pure, just as I do today.

He will lead a Saṅgha of many thousand mendicants, just as I lead a Saṅgha of many hundreds today.

Then King Saṅkha will have the sacrificial post once built by King Mahāpanāda raised up.

Having reigned, he will abdicate, offering charity to ascetics and brahmins, paupers, vagrants, supplicants, and beggars. Then, having shaved off his hair and beard and dressed in ocher robes, he will go forth from the lay life to homelessness in the Buddha Metteyya’s presence

Soon after going forth, living withdrawn, diligent, keen, and resolute, he will realize the supreme end of the spiritual path in this very life. He will live having achieved with his own insight the goal for which gentlemen rightly go forth from the lay life to homelessness.

On a side note, I think it’s possible to be reborn as one of the sons of the Wheel-Turning Monarch Sanka as he is supposed to have over a thousand sons. It would be really great to receive a definite prophecy to become a Buddha from the Buddha Metteyya.