Why doesn't BTC reward miners for confirmations, too?
I'm not 100% sure I've understood your suggestion, in part because you've used some non-standard terminology.
But it looks like this is actually two suggestions rolled into one.
The first is a mechanism to incentivize miners to include transactions which have little or no fee.
That is a bug, not a feature, for two reasons:

Including transactions in the blockchain is costly. Every transaction needs to be processed not only by every node that operates now, but every fully validating node that will ever start operating in the future. The more transactions there are, the harder it is to run a node, and the less decentralized the system is.
This is why we don't want people to have the opportunity to spam the network with transactions of low economic value (due to either negligence or malice). If someone wants to have their transaction included, they have to pay for the privilege. That's why there is a limit on the block size, and users compete with fees on the right to enter the block.
Low-value payments is what we have the Lightning Network for.

A core principle of Bitcoin is to have a known monetary policy. Every reward obtained by a miner has to come from somewhere. Either from the pre-agreed inflation schedule for Bitcoin, or from already existing coins paid by users as fees. You are suggesting that miners should be paid above and beyond the inflation schedule and the user fees. Where will the money come from?
This problem is not completely insurmountable - but it's not really a simple matter of tuning a few parameters, and it does complicate the issue.


Your suggestions also seems to hint at the possibility that fees for a transaction will not be just given to the miner who includes it in a block, but rather divided between that miner and future miners who built on that block. This is similar to what I suggested here. But this is not really effective enough to be worth the trouble.