I don't use KDE (anymore), but I do use Konsole and gave Kate another shot about a year ago.

Konsole is the best multitabbed terminal in my experience on Linux. I tried more "modern" or fashionable ones, but Konsole works great all of the time on all of my systems and it supports all the features I want (including graphical output using sixel, which is something I use in my own prototype tools all the time).

Kate is fine now that it has LSP integration, but it still can't compete with something like the VSCode ecosystem for plugins and first-party support from software frameworks and programming language teams. So I've since gone back to using VS Codium.