You mean Amdahl's Law does NOT apply to the blockchain?
If yes, then there is probability to increase the transactions or may be speed up the processing power and reduce the network difficulty so that we can more hashing power thus indirectly giving out more outputs of confirmations.
Am I right to think this way or this assumption is just going to the south pole? Since your statement and whatever NotATether has referred to, contradicts a lot.
Having latency due to addition of Data Sharding architecture is like calling for the roadblocks intentionally. This is based on the Amdahl's Law as explained by the NotATether. On the other hand there are different assumptions to the Sharding architecture by other members.
It seems the concept is either a mismatch or it has not been properly understood.
You have to read and understand the law yourself. That law encompasses the problem surrounding parallel computing and the likes of it. That is very different from sharding and how we can apply it to Bitcoin. You can think of this as being applicable to IBD when we improved the speedup through parallelization.
Confirmation or block intervals is NOT related to mining or anything similar. It is purely a design choice and can be improved albeit with tradeoff. You have to understand how sharding with blockchain really works to be able to understand what we are getting at and what we have to address before even thinking about adopting it.
Please do read up more on how sharding could be applicable. Good resources to look into would be articles by Vitalik Buterin, danksharding, and those stuff. These are complex topics.