A consistent 4 cm at 100 meters your first time shooting, then a consistent 5 cm at 200 meters just a short time later is nothing short of a miracle. That's 1.3~ and 0.85~ MOA respectively.
Hell, many commercial and surplus rifles you buy will straight up NEVER shoot 1 MOA on their own as is even assuming you've clamped them perfectly to a table with no human input for error due to their construction.
i use a 5 legged shooting rest, which is extremely effective.
my rifle is a 3006 with a cut barrel, and it is extremely precise. There are a couple of guys at my local range that can consistently(aka generally 4 out of 5) put hole-in-hole (with slight enlarging)
I don't doubt that you did, just said it's nothing short of a miracle because I don't think your experience is a common one. It also sounds like you did your research, made a large investment, had good equipment, and had knowledgeable people there to help you out all before ever sitting down to shoot- coming prepared like that is a far cry from easy.
Most people aren't buying a $3-4k optic (you mentioned Zeiss in your other post) + what I assume is a (at minimum) $1-2k precision rifle + a fancy rest + I'm guessing match grade ammo and having someone set it up for them the first time they go shooting.
Majority of new hobbyists are buying an off the shelf budget AR15 or surplus rifle around $300-600, using irons or cheap ($100-200 range) optics, and whatever box of factory grade cartridges the guy at the store shoved at them first when they asked for ammo for their rifle, and grabbing the wood block or small sand bag rests the range hands out for free when they shoot. I think that's more fair to judge initial progress/consistency off of a common real world scenario- it's what most new shooters will experience, either at home or in military service, most newcomers aren't instantly splurging on the nicest gear money can buy.
Most rifles straight up can't consistently (and I mean consistently, I don't mean like those guys online or at the range that will shoot 20 groups and cherry pick the 1 lucky group under 1 MOA when the rest are all 2-4 MOA and claim they shoot sub-MOA, or shoot a group of 5 and only mark 3) unless you specifically shopped around for one or made the necessary adjustments (new barrel, etc.) either and know that good ammo can make all the difference.
the rifle cost ~$1500 including 25%vat, which is on the cheaper end of stuff you can buy (new) in my country. What I did however not pay for is more fancy wooden stock, I got the basic. I splurged on an absolute top end scope yes, because I wanted equipment I can count on :)
as for ammo, i Used the cheapest training ammo the store had (Sellier & Bellot fmj), which many people complain about not being super good, but works extremely well for me. I have noticed that some different boxes has a SLIGHT offset in where the hit is, but groupings are more or less equally good.
edit: I should note that the rifle manufacturer gives a 1MOA garantuee, but most are way better, and for about $1000 more they would take like 10 barrels and test, and give you the best of them. I choose NOT to pay the extra fee
>I splurged on an absolute top end scope yes, because I wanted equipment I can count on
I definitely feel that. My father in law is a bit of a precision nut, he has a Zeiss he let me use a few times, I don't know the exact model though. Very nice stuff, always found it hard to justify for myself, haha. Ammo prices nowadays are starting to make range days pricey enough where I look at the cost of nicer equipment and think, man, I can get this or get X more trips worth of ammo instead :)
Hell, many commercial and surplus rifles you buy will straight up NEVER shoot 1 MOA on their own as is even assuming you've clamped them perfectly to a table with no human input for error due to their construction.