"Because in my opinion, they're pretty much the same person", he said, according to The Hill.
Dressed in a classic figure skating costume, Kim skated around on the ice installed underneath the cauldron, before taking the torch from two players from the joint women's hockey team, Park Jong-ah from the South and Jong Su-hyon from the North. The White House official says Pence stood only for the USA team, despite other people in the box standing and applauding when athletes from the two Koreas walked in together.
Smiling and seemingly unfazed by cameras flashing during the airport meeting, Kim Yo Jong wore a black coat, matching ankle boots and carried a black purse.
The participation of 22 North Korean athletes in the 2018 Winter Olympics in Pyeongchang, South Korea, will test the limits of United Nations sanctions imposed on the isolated nation to curtail its pursuit of a nuclear weapons program.
Seoul's Unification Ministry said Friday that the Mangyongbong-92 will return to the North on Saturday.
So political tensions will likely be high throughout the games.
Outside the stadium, Zumi Miranada, a tourist from the Philippines, said the current cooperation between the North and South gives her "peace of mind" as a tourist.
Pence, the leader of the US delegation, was among 12 leaders invited to an in-stadium reception by South Korean President Moon Jae-in.
Lee Hee-beom, head of the Games organising committee, said "the North and South have become one through the Olympics". The Tongan was touted as the hero of the opening ceremony at Rio 2016, when he entered the - considerably warmer - stadium shirtless while waving the flag of his nation.
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The two Koreas, which remain technically at war, have cycled through countless periods of chill and thaw since their division 70 years ago.
A Korean man "invaded" the opening ceremony of the Winter Olympics and slid down an icy chute behind the stage before being taken away by security staff.
At the event Moon said he hoped the Winter Olympics would be remembered as the "day peace began".
Kim, president of the Presidium of the Supreme People's Assembly, is leading North Korea's delegation to the Olympics.
The real Kim Jong Un did not travel to South Korea for the games, either.
Kim Jong Un and President Trump impersonators were booted from the Olympic Games' opening ceremony. A top North Korean official seemed to rule out a potential meeting with US officials in the North's state-run media on Thursday, but Pence suggested to reporters that it was still a possibility.
Since then, scenes of reconciliation between the two Koreas were seen under liberal South Korean presidents Kim Dae-jung and Roh Moo-hyun but they disappeared over the past decade under the subsequent conservative governments of South Korea.
Before the ceremony, South Korean officials released a statement from President Moon Jae-in. The last time a Japanese prime minister visited North Korea was in 2004.