Hide "real" caret during visual mode

[musjj]

Is your feature request related to a problem? Please describe.
It looks like during normal mode, the plugin simulates a fake(?) caret, but the real caret stays visible:

With editor.cursorSmoothCaretAnimation set to on, this becomes really apparent and distracting:

Kooha-2024-04-26-23-09-36.webm

Describe the solution you'd like
I believe that this could be solved by simply temporarily making the "real" caret invisible, by setting it to a transparent color. The color can then be reset afterwards.

Describe alternatives you've considered
I tried to figure out a way to hack it from the user's end, but I couldn't figure it out.