Depends on how you define Shotokan and also Taekwondo. The most senior Shotokan student from Korea was GM LEE Won Kuk, the founder of the Chung Do Kwan. GM Lee began his training while a student at Chuo University and continued his studies after graduation. GM Lee (who I interviewed at length both at his house and over the telephone) stated that his main teacher was not FUNAKOSHI Gichin, but rather his son, FUNAKOSHI Yoshitaka Sensei, who GM Lee referred to as "Waka Sensei", or young sensei. GM Lee said he studied mostly with Waka Sensei during the night classes. Waka Sensei had a day job, just like GM Lee and so they worked in the day and trained at night.
GM Lee stated that Waka Sensei emphasized a very short narrow stance as well as economical arm movements. This is what he taught to his students during the 1940's. Waka Sensei died in 1945, and his work was taken over by junior students such as Nakayama Sensei of the JKA. GM Lee was senior to Nakayama Sensei in age and experience in Shotokan.
GM Lee said that the longer wider stance was something that evolved out of the Japanese style sparring that was being developed in Japan, which was to make Karate into arts such as kendo and judo. He said that when they first started sparring (with five step, then three step and finally one step sparring), the students would step out wide so that they could connect squarely against their opponent or partner's torso, who were generally standing with a 45 degree angle to their body. In order to hit square, one would have to step at that 45 degree angle to make the T like connection with their opponent.
Modern Taekwondo competitors adopt the same stepping out motion, in what is known as "cover punch".
He said that that stepping out wide was then incorporated into the kata. However, originally the stances were short and narrow, with your joints aligned.
Shotokan went in this direction during the 1950's, and because of the many exchanges Korea had with Japan during the time, Taekwondo stances also became longer and wider. The problem in Taekwondo came because many of the senior practitioners started Taekwondo during this time frame, and so they adopted the wider stances, and continue to use that wide stance.
In 1967, GM LEE Won Kuk returned to Korea and gave a series of seminars to reeducate the students into adopting the shorter narrow stances that was originally taught at the Shotokan. These were adopted into the Kukkiwon poomsae that we have today.
So even though the Kukkiwon forms have been rearranged into the Taeguek and Yudanja poomsae, the movements themselves, including but not limited to the short narrow stances and compact arm movements, is closer to the original shotokan than the shotokan of today.