Pretty much unrelated AFAIK. At least in the setup I have it does mean that various hooks you may have set up may have to be tweaked. e.g. I had things on python-mode-hook but now I have to use python-ts-mode-hook.

For me it was

• install tree-sitter (sudo apt install lib-tree-sitter-dev)
• build Emacs with tree-sitter
• configure tree-sitter with the snippet below
• mess with some config/hooks because my prog modes are now different

Some setups seem to make -ts-mode somehow aliased to -mode, and I don't know if that makes the hook issue automatically resolved (?). Apart from that, treesit-auto seemed to be a low-friction way to get a setup:

My config:

(use-package treesit-auto
  :custom
  (treesit-auto-install 'prompt)
  (treesit-font-lock-level 4)
  :config
  (treesit-auto-add-to-auto-mode-alist 'all)
  (global-treesit-auto-mode))

Edit: and I can confirm that treesitter does fix your specific problem, unsurprisingly.