Having had the Arcology built for the last few days, I've been studying what exactly its doing.
Here's the current stats of my Arcology:
Arcology costs 1,000,000 (just one city pays this fee) and requires 1,000 Alloy, 2,800 Metal, 60,000 TVs (entire region can help with goods) to construct.
One thing to remember is each city in the region processes the Arcology separately. I had to load each of my regional cities to get it "built" in each city. To get it operating you need 300 MW/hr power and 120 kGal/hr water available in the region.
While building the Arcology it doesn't directly update its required goods very consistently. A lot of people on the forums are complaining it's not working, but it worked for me relatively fine (except for a few goods-eating bugs).
Arcology provides 3 direct benefits. Arcology fills the need for residential buildings. With Arcology in place, you could technically create a city without residential zones since they all your shoppers, workers commute in. It's an absolute absurd notion, but that's what it claims.
The first benefit is shoppers commuting in to fill gaps in your Commercial demand. At level 8 I have 3,125 Shoppers available at the Arcology. I think these numbers are for the whole region. I don't know what would happen if two people both requested the maximum number of shoppers/workers from the Arcology. I suspect it would grant both cities what they wanted. Anyways, the shoppers commute in and look for shopping. They fill the gap of Commercial needing shoppers if you have one there. You will still have businesses complaining about needing shoppers but they will be eased a bit. ALSO: looking at my numbers it seems Arcology shoppers don't replace your city's shoppers. I think they have some kind of priority over shoppers from Arcology. I think this is true for workers as well.
This is the most important benefit of the Arcology by far since getting that RCI just right is hard. If you look at the above population breakdown you see that I have huge numbers Commuting to work. Before I had the Arcology up, I needed $ and $$ workers, but they are filling the gap in my RCI. My needed jobs is staying at 0, while unemployment is staying at 0. Very few $$$ workers are commuting in so I assume most or ALL of the Arcology residents are $ and $$. Just recalling from memory but I think I am receiving 10,000 $ Workers and 10,000 $$ Workers after building the Arcology.
Basically the Arcology floods your city with unemployed agents walking around/using mass transit or cars to find/fill jobs.
I just watched a morning rush hour and didn't notice any school buses or cars coming in and headed to school. Unless they are all on mass transit and only going to the college/university they aren't coming in. All buses I followed coming in from Arcology seemed to drop off unemployed worker agents, but its possible students were on those buses too. In any case, there's not much need for extra students filling up your schools, so that would be a drawback. I have an extra amount of schools for this city and I haven't noticed any extra filling of my schools. Just taking a look at my community college shows very little regional impact:
The drawbacks of the Arcology after being built are pretty singular, in my opinion. The only problem Arcology causes is it has the potential to put extra strain on a city in the form of Traffic.
You can see the huge spike in Visitors to my city. That equals traffic. Look at it like this: All those unfilled jobs you had before, all those shops that needed to sell goods got serviced by new people because the Arcology supplied and fixed the gap. IMO, if you have a city that has bad traffic problems Arcology could potentially make it worse. If you have a city that is OK on traffic but needs help in the RCI department (particularly for $/$$$) then Arcology is GOOD. As for your Residental concerns, I don't see ANY impact on the residental in my city, the only thing that is happening is Arcology is flooding my city with Unemployed Workers and Shoppers with money. The students I don't know about so much. In your 2 scenarios the 2nd one is definitely true. Arcology is all about filling the RCI gap (just the CI part) in the form of Shoppers/Workers, not devaluing or replacing your residental need. I can't speak to what would happen if you had very high unemployment and you built the Arcology. And the way the Industry/Commercial need workers at the moment I don't know why you would have Unemployment unless you're trying to game the system with 100% residental city.
Just one last update. It was suggested that you receive tourists from the Arcology. I can't see any proof at all of this. In fact my tourism industry is flailing in the wind and seems unaffected by Arcology being built. I think any shopper from another city is labeled a "tourist", which is true. However, it won't help your Tourism industry, only local commercial.