Earlier quoted context omitted.
I repeat, you got it very wrong. Transaction number is not correlated with mining energy expenditure. Mining is used to secure the ledger in a way that the same amount of energy is needed to alter it. The block hash begins with a number of zeros. Try for yourself how many tries it takes to find a string that hashes to a hash beginning with 3 zeros. Bitcoin block hashes begin with 13 or 14 zeros IIRC. This means that…
You can't just scale the number of transactions in a block forever and still have a stable currency. If you have only a few miners working on massive blocks, then they confer very little confidence onto the transactions in the blocks. More transactions, more mining. The whole point of the system is to verify transactions and it stops working if it doesn't do that.
If you mean that over time the incentive to centralization become stronger, yes, you are right. There must be competition to enter the blocks, otherwise when mining subsidy ends, there will be no incentive to secure the ledger.
If you mean that ten times the transaction have a computational cost 10 times greater (or 5, or 2), you're wrong.
> The whole point of the system is to verify transactions and it stops working if it doesn't do that.
Plenty of cryptocurrencies are mining tons of empty blocks. on the short term, if there are no transactions, mining continues with the same difficulty.
The effect is long term: if noone is using the currency for transaction, it has no value so less and less people mine it. The difficulty drops, and the security drops, pulling value down even more.
You are almost right, but it is a very indirect effect, and takes years to manifest itself.