Glad you agree on HM now...it's my favorite ride anyway.

Even with my bias, it's definitely an E-Ticket.
Pre Jack Sparrow Pirates was
Definitely better than the new one, but I don't think it removes it from E-Ticket status, particularly since we agree on HM. It's very similar in its detail and storytelling ability. Scene after scene of detail, music, audio, script, etc.
If you ever get a chance, watch the documentary on how the American Adventure was built. The way the characters come in and out of each scene, silently, is truly an engineering masterpiece. It's a heartfelt story of American history from beginning to end, is in a beautiful theater, and has a wonderful script. Starting from nothing, just think how much time and effort went into making that a physical reality.
SSE is similar to Haunted Mansion for me. Since it's so detail with physical scenes, painstaking effort went into each scene of the ride, script, etc. I agree it does need some TLC to the later scenes, but its message is still relevant and powerful.
TSMM is definitely the best in TSL, but the fact it was basically done on a computer makes it fall short of the other E-Tickets (for me). I can see why people would like it, but it relies too much on technology for me. I really enjoy it, it's a lot of fun, but just doesn't have the scale and grand feel of E-Tickets I know from Disney.