Dial-up really shouldn't be that big of an issue. I fought greens a few times the other night, and he was warping for me too. Nothing major, but very noticeable.
I had dial-up until about a year ago. I "tuned" my system a bit for it, and honestly, I see/saw zero difference when I switched to my "high-speed" set-up (I don't remember what it's called... DSL maybe? It's still through the phone company, I have router, and my wife can use the internet without being hooked up via cord. I have a new cord that plugs me in...)
My dial-up connection was 28K, but I could never get a decent connection to the game unless it connected at 24K. If I dialed-up and it said 26K, I disconnected and tried again...
I'm fairly confident that with some tuning, greens could play just fine with his dial-up too. IIRC, Data Compression did horrid things for me, and it was "on" by default. Just turning that off (in two places) solved 95% of my warping issues. I also set my computer up to run the game on a partition, and only had the absolute minimum running in the background for that. That helped immensely too.
I live on an old farm in the boonies. Old, crappy phone lines, held up by derelict poles. There's more cow-crap on my street than blacktop some days. Tuning your system makes a huge difference.