Unfortunately, millions of lines of scrolling text are no longer unusual, especially when you frequently compile big software projects. The use of high-resolution monitors has also been normal for many years.
Instant window rendering is addictive, so now I would never return from a fast terminal emulator like ghostty to an older video terminal emulator. The last terminal emulator that I had been using before ghostty was kitty, which was also pretty fast in comparison with traditional terminal emulators, but I like ghostty more.
If you do not want to or you cannot install the terminfo data, there is the easy workaround to put in your shell initialization script on the remote computer something like "export TERM=xterm-256color".
Ghostty aims to be completely compatible with xterm, so everything should work fine after setting thus TERM, only the newer features of ghostty will not be available.