Switch is infamous for adding lots of input lag to its PC ports (like hollow knight). Not to mention the abysmal online experience. The steam deck looks like it will destroy it for any third party title.
This sounds like a tv issue rather than a switch issue. Monitor != tv. Having played hollow knight on both PC and switch, I can say that I haven't felt any noticeable difference. In general one should expect between 30-100 ms input lag, depending on the tv model. Even with gaming mode enabled, some tv models are simply terrible for gaming.
Playing in handheld mode, there should be no input lag at all.
It's been measured around 7 frames of lag, so 120ms [0]. PC in comparison is around 2-3 frames of input lag. That thread is pretty old though so may be out of date now.