So the only relevant congestion for this specific issue is between the tunnels and the highways. Manhattan residents living near the tunnels know what they're signing up for. The tunnels opened in 1927 and 1937. The traffic isn't exactly a new problem.
Also, the parts of NJ in question (where the tunnels are closer than bridges) are largely urban in character. You make it sound like people are coming from some far-away leafy suburb, that's not the case for the majority of this population.
Any congestion pricing plan which ignores that problem is going to be met with mass outrage, to an extent that will swing elections against incumbents. Especially when said incumbents promote this "no charge if you stay on highways" BS without explaining the fine print.
Again, I'm saying this as someone who only ever takes public transit and is generally in favor of congestion pricing as a concept.
Personally I always take public transit into NYC, but I can completely understand why it isn't a reasonable option for many people. Especially when both NJT rail and Amtrak have daily meltdowns whenever the temperature is above average.
Edit to add: I'm completely puzzled by your comment about "traffic from Florida to Boston or Albany". Boston is on the I-95 corridor, which means going over the GWB -- there's already no reason for any sane driver to enter the congestion zone for that route. And routes to Albany don't need to cross the Hudson at all. I don't see how congestion pricing or these two tunnels have any connection to those routes.
Anyway, my overall point here is that the upthread comment of "if you take a highway into the city and stay on the highway, you won't be charged" is true but worthless, because for one million people here there's no way to actually do that without driving massively out of your way to a bridge crossing.
The through traffic comment was a response to my original comment that a person wanted to use the Hudson River tunnels to pass through NYC onto their destination. I picked the Varanzono bridge route as the southern route around the city and 87 for the northern route. I usually go further north than the GWB to crossover.
The massively out of your way I might prefer to NYC city traffic.
Which parent comment are you referring to? I don't see any talking about non-NYC destinations besides yours.
In any case, the only highways that are exempt are the West Side Highway and the FDR. These are the only highways in the zone. And generally you don't take either of those highways for anything other than "local traffic" as you said. So I'm just not understanding your point about routes outside of NYC, that doesn't make any sense in the context of congestion pricing and the exempted highways in the first place.
My comment was that travelers not going to Manhattan should choose a route that avoids the tunnels.
I'm only now beginning to understand the point you are trying to make is that political outrage makes good policies tougher. I thought this sub-thread was regarding driving into Manhattan to get somewhere else is inconvenient and adding extra costs makes sense.