No.... When the X-Men "died" in Texas (ages ago) I believe that a carachter named Roma offered them the option to live again by entering the Siege Perilious or something like that.... they would live again but with no memories (this was the reason Rogue lost Carol Danvers' personality, I believe) The X-Men (Psylocke, Rogue, Colossus and maybe Nightcrawler I don't remember) disappeared, but eventually returned.... Psylocke was found by Matsuo Tsurayaba who worke for The Hand. This man had a lover: Kwannon, but had to kill her cause she was an assassin that tried to kill him.... and this guy, with the help of Spiral switched Psylocke's british body with Kwannon's mind and viceversa (Kwannon's asian body with Betsy's mind).... so when he had to decide with who he wanted to stay... he prefered Kwannon's body and Betsy's mind and eventually she began to remember and came back to the X-Men leaving Tsurayaba and The Hand (by the way, this happened pretty much thanx to Wolverine & Jubilee).... and so this Asian Psylocke is the one who we all know and love..... THE END
This was my best way to explain it... feel free to correct me if I'm wrong 😄