Hajj: Well known days and numbered days

[Student]

Greetings,

Are well-known days (أَيَّامٍۢ مَّعْلُومَتٍ) mentioned in 22:28 and specific numbered/prescribed/appointed days (أَيَّامٍۢ مَّعْدُودَتٍۢ) in 2:203 are one and the same? If so, what are they inside the 4 sacred months?

If lost Hajj months are well-known then what are its well-known days?

One opinion shared based heavily on mathematical analysis argues that the 4 months = well-known days.

https://www.quranaloneislam.org/the-4-sacred-months-of-hajj

Please share your findings.

[Wakas]

I recommend: https://mypercept.co.uk/articles/meaning-hajj-Quran.html

[Student]

Thanks Wakas for your response and kind recommended reading. After reading the summary and glanced at some sub topics (I've read this entire article before when we engaged on this topic earlier).

Questions, because it's still missing from your article:
1. What/which are the 4 holy months of Hajj that is well-known?
2. The well-known days (2-10) can be any within these 4 months or are they fixed as traditionalist believe?

[Wakas]

I haven't studied in detail the "when" aspect. Here is a reasonable article that gives some good points: https://www.free-minds.org/blind_dating

I see little evidence for the traditional position with regards to timing/calendar, especially when considering this:
https://free-minds.org/forum/index.php?topic=9610235.0

[Student]

Thanks Wakas for sharing Islamic calendar refuting article. I read it but not convinced as the author concluded with open question on Aam and Sanat and he himself is unsure.
I think when is equally important if not more than what aspect of Hajj ritual (or Ramadan fasting for that matter) else we may be doing right things at the wrong times 

So far as I'm concerned I've not seen/come across better argument and evidences in regards to things involving numbers and calculation in the Quran than this brother's research work, which I shared earlier too:

https://www.quranaloneislam.org/solar-year-lunar-year
https://www.quranaloneislam.org/miracle-of-the-word-day
https://www.quranaloneislam.org/the-4-sacred-months-of-hajj
https://www.quranaloneislam.org/splitting-of-the-moon

Please let me know if my inclination towards his research work has any major flaws risking in arriving at wrong timing of Hajj and Ramadan including 27th (Laylatul Qadr) night.