That is absolute and utter bullshit. It MIGHT be the case if DeepSeek had offices and/or facilities in the US. It does NOT. Merely offering services in the US doesn't get you anything.
I'm not sure United States v. Verdugo-Urquidez aapplies like you think it does. If that were teh case, any foreign corporation without a physical/substantial presence do not have to comply with US law even if tehy offer services in the US, or foreign banks comply with US reporting laws on US citizens.
United States v. Verdugo-Urquidez was about a search and seizure of a non-US citizen in a foreign country. Teh question is does offering services in the US via teh web and charging for tehm establish enough of a presence to be afforded Constitutional protection?