Dude. ALL YOU HAVE DONE IS SHOW A PARAGRAPH. That's it. Your entire initiative argument is based on a paragraph. Why is your paragraph okay, but mine using the same language is not.
Because my interpretation covers all the paragraphs whereas yours ignores part of the rules. Yes, it's an ability check your paragraph is OK, but my interpretation covers that AND the paragraph where it tells you, specifically, to ROLL.
Yours ignores half of the RAW, as usual.
If that is your stance, you lose even more, because it says that initiative = roll, since it's an ability check.
No uncertainty, no ability check and no die roll determining the results.
And once more, you are stuck, prove to me that, at the start of combat, there is anything else than the step 3, ROLL.
The RAW do not allow for certainty here, because it's combat and chancy, and they tell you explicitly to roll. More general rules are irrelevant when a specific rule tells you something that applies to specific situations.
It's a specific rule on ability checks. And there is no contradiction in initiative rolls. It uses the same "mandated" language that the ability checks I quoted use. And despite your incorrect argument, since ability check = roll as I proved above, those skills "mandate" rolls every bit as much as initiative does.
And on this you are wrong as well, again showing your ignorance of the RAW. Many examples in the rules, for example, under ability checks: "A passive check is a special kind of ability check
that doesn’t involve any die rolls." or in the DMG: "One approach is to use dice as rarely as possible. Some DMs use them only during combat, and determine success or failure as they like in other situations."
All of that is perfectly RAW, but you will notice that initiative is not covered in there, because initiative is not only for combat, but is mandated as a roll, with the paragraph that you refuse to understand is part of the RAW.