No, in this case this is not the real website, but it's not because of the ISP, it is because you consider that website "my bank website". That's the real issue here. It's not different than someone registering a (similar) domain name and you thinking that this is owned by the bank.
If you were to redesign name and address resolution, to enforce connecting to the real physical world entity, this should happen out-of-band. Well, know that I think of it, I think that's what the GNU Name System is trying to address: https://www.gnunet.org/en/gns.html .
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The question seams to be, what do you consider to be the real website? The one that answers to your request? Then the ISP is the real website. In your example you seem to have preconceptions of who might own the website, but these are outside of the network. TLS from Let's Encrypt only enforces that the entity never changes. There are validation schemes where the physical/legal entity is validated, but this is not the case here.
If you were to redesign name and address resolution, to enforce connecting to the real physical world entity, this should happen out-of-band. Well, know that I think of it, I think that's what the GNU Name System is trying to address: https://www.gnunet.org/en/gns.html .
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The question seams to be, what do you consider to be the real website? The one that answers to your request? Then the ISP is the real website. In your example you seem to have preconceptions of who might own the website, but these are outside of the network. TLS from Let's Encrypt only enforces that the entity never changes. There are validation schemes where the physical/legal entity is validated, but this is not the case here.