Oh I absolutely agree that it's not an entirely unreasonable model. But nothing about the rhetoric coming out of the FCC is saying that they are looking at changing the entire payment model of the Internet. (Also of note is that changing something this fundamental does risk breaking the system in order to fix it on the other side.)
If you look at the deliberation involved in the rollout of IPv6 and compare to this, which is about as fundamental on the business side, there's no comparison. The FCC is moving in a haphazard fashion without addressing what a fundamental change this is.
It is indeed interesting to wonder how the incentives change if the funds ISPs get from service providers (SPs) overshadow the fees from consumers. In an unregulated market, that would possibly lead ISPs to acquire those SPs (a la Comcast-NBC) and make it harder to access content not owned by the ISP. So we could circle back to an AOL-like environment. The FCC is so far pretending that this is not possible.
Also note that under your scenario it's possible that the Netflix business would not be possible, because the ISPs would make the connection fees high enough to destroy the business model, instead shunting their customers onto their proprietary platforms. In fact, any time an SP becomes popular, it would be shareholder-friendly for the ISP to make a bad clone of that SP and then make connection fees to the original unbearably high. The FCC is again ignoring this likely outcome.
To say nothing of the likelihood that fewer SPs will get started in the first place. Given free reign, why wouldn't large ISPs charge a baseline connection fee for every SP? And why would we expect that fee to accessible to businesses without institutional funding? It would be "commercially reasonable" for e.g. Comcast to charge $10k annually for access to it's tens of millions of subscribers. It would be "commercially reasonable" for AT&T, Verizon, T-Mobile, etc. to do the same. Don't forget that any web operator that wants to be accessible nationally/globally (if other countries follow suit) will need to pay that connection fee many times. The FCC is silent on this issue.
The point is there's a lot here that's not being addressed by the FCC.