Not weird at all, I actually share some of your feelings. If I had my own way I would just put Shenmue 1+2 on digital distribution services to preserve them in gaming culture and not remake them, because they are products of their time. I am very nostalgic for the original two Shenmue games – the absence of the loading screens, tank controls, Corey Marshall, even the graphics of the time would be incredibly jarring if a new next gen Shenmue were to come around.
I could accept a new addition to the franchise though. My nostalgia would likely cause me to hate some of the changes and the ‘feel’ of the game at first; also blind me from fully appreciating if the game is meritorious in its own right or even more so than the previous two. But in time, maybe even years, I believe I would become more accepting and even a little nostalgic for it. So long as the game is good that’s all that matters. It usually works out that way for me – a new addition to a beloved franchise, play it for the first time and scream ’Blasphemy!’, then get over the fact that its new/different and give it a few more replays only to end up really appreciating it (again, so long as the game is genuinely good). That's pretty much been the story of my life with the Silent Hill series. In fact I think give it 20 years and a dozen replays or so after Shenmue 3 is released and I would probably be as nostalgic for it as I am now for the original two.