Why you all say, its must to quarantine for visitors for 10 days if they have got 2 doses of vaccinations outside qatar?

Qatar moph new update says
Those who have been vaccinated or recovered from COVID-19 in the State of Qatar are subject to a two-day hotel quarantine and are allowed to leave the hotel on the second day if the result of the PCR test is negative.

Which means as i understand it says those "who are vaccinated" or "those who got covid inside qatar and recovered in qatar" ( it doesn't say those who are vaccinated inside qatar)

Because the vaccines doesn't change country to country , if you take pfizer inside qatar or india or anywhere, its still the same vaccination, there no even a drop of change. So why would qatar government allow only the people who took vaccination inside qatar ?(even in the full moph travel document they only talk about vaccination approved by qatar, not vaccinated inside qatat)

But for the people who got covid inside qatar and recovered in qatar , has a meaning because the qatar system of tracking and medication is far more better than in any of these countries, for an example if someone got covid and treated or just self quarantined, qatar government has all the details..but in our countries if someone gets covid or and if they self quarantined there is no any valid tracking or proofs to show...

So thats why they only allow 2 days quarantine for people who got covid only inside qatar, but for the vaccination i think it will be okay if you take it anywhere with valid proof.. please check and confirm..
And also in there travel policy (full document) when they talk about vaccinated people they doesn't say it must in qatar, they only say approved vaccines by qatar....
But when they talk about covid recovery patients they mention it inside qatar (and some gcc countries)

Please correct me if i wrong...