I don't see how OVH intends to reliably finance 12 new data centers, much less provide sustainable service in the Asian markets. I'm sure they'll have to either raise their prices for the Asia-Pacific region servers, reduce the included/"guaranteed" bandwidth, or both.
While Asia is a more expensive market, especially in terms of bandwidth and power, I can see a way where OVH can potentially flourish here.
Lets take OVH for what it is. It's like Walmart. They buy everything in bulk and make a profit through volumes. Asia isn't that much different, although they might have to increase the pricing a little bit (like adding an extra dollar or something). However if their supplier is a local business, they would be getting cheap cheap hardware.
One of the biggest issues facing Asia, besides for climate change, is the energy crisis. Energy is incredibly scarce that many countries are having supply issues and are starting to cut back a little bit. It also gets coupled in with "being green" and "saving energy/protecting the environment", but I know multiple countries right now are at an energy deficit that datacenters may have to increase their rent. So that's the most expensive part.
The 4 best connected points in Asia are: Singapore, Hong Kong, Korea, and Japan. Other less developed countries have much less bandwidth and if you're looking at a country like Vietnam, are only connected to either Hong Kong or Singapore. If you want to network internationally, most of the time you'll want to peer with Singapore or Hong Kong (for SEA countries). Hong Kong has the best gateway/traffic into mainland China for obvious reasons. Singapore is like the network hub of all of Asia. India's also decent but India is just better connected within their own country rather than internationally (unless you want the more Western part of Asia, but when people usually say Asia they usually look at SEA or Northern Asia, like Japan, Korea, and China).
Singapore specifically though is pretty weird. The country is practically fractured network wise. Either you're part of the big/primary internet exchange, which if I recall correctly is StarHub (a local ISP plus datacenter provider), or you have to be part of the smaller IXes that lacks some good peering. That's why sometimes even if you're living in Singapore, there are sometimes periods when your routing to another Singapore server is absolutely out of whack. Internationally,
There are also more submarine cables being laid down right now, connecting Asia to the US and Australia. If I recall correctly, KT is co-owning another new submarine cable currently being laid out connecting Korea and Japan to Seattle.
Talking about Submarine cables, because Asia is practically a conglomerate of island nations each with political tensions which frequently prevents direct country peering (e.g. South Korea can't lay down fiber in North Korea, Vietnam and their border countries, etc.), almost all countries are connected via the submarine cables. Now if there is an issue and lets say someone accidentally damages a submarine cable (like what happened in 2015 in Vietnam, Vietnam has two major points where the submarine cables connect and one of those locations had a high capacity/volume cable that was cut) suddenly all the country's network is channeled through a single cable. For a period of about two weeks (until the weather subsided and the cable could be repaired), that country had some shitty internet.
However shitty the internet situation is in Asia in comparison to Europe or the US, and however limited in resources Asia is, I can still see OVH flourishing if they're willing to invest in their own infrastructure here. Just like how OVH chose BHS as their North America location (due to access to cheap power and they made their own network and systems there), if they are willing to invest into the area and buy everything in bulk, I can see them succeeding pretty big here.
Now for the Asian server industry as a whole, I can't say I know exactly what will happen since I'm an engineer, not an economist, but this is what I'm thinking. If OVH does bring in Kimsufi and Soyoustart along with it (remember, when OVH first moved into BHS, they only had OVH brand hardware in there, but later started including Kimsufi and Soyoustart) then the budget server market in Asia will be made available to other people internationally. Currently, the budget servers are only available to people who are domestic/live locally/understand the language (for example, I can find a Korean dedicated server for 30 dollars a month, but if an English speaking individual wanted one they'd be paying 80 dollars or more). OVH coming into a market decreases the cost of bandwidth (since it usually creates excess bandwidth). Power will probably be the major deciding factor though.
I'm not an expert. Therefore there's probably a fair amount of issues and errors in this post. However, this is what I think and is my opinion of what will happen. Especially since this will be a direct impact to me.