“For me to be thrown out first is nothing short of despicable, and I think they have covered themselves in a huge embarrassment by treating me with such disrespect,” Murphy told ITV.
“I always pride myself on conducting myself as professionally as I can, try to treat the game with an incredible amount of respect.
“There are three other players in this tournament who weren’t even in China last week. The way I have been treated by Matchroom in this tournament is nothing short of despicable.”
In response, Matchroom said it spoke to Murphy afterwards and “share his frustrations”.
A statement read: “Our priorities are the players, we take pride in the fact they consider this event prestigious and want to prepare for it.
“For transparency and fairness, the groups [for the draw] are based on seeding. Scheduling is always a challenge every year, but we take on board the points and always strive to improve for next year and the future.”
Lei, ranked 31st in the world, opened up a two-frame lead before Murphy reduced the deficit.
However, Lei responded with a break of 61 to take the fourth frame with Murphy unable to respond in the fifth.
Meanwhile, England’s Judd Trump booked his place in the quarter-finals with a 4-1 win over Bai Yulu of China.
Reigning women’s world champion Bai, 22, won the opening frame of the first meeting between the players.
But men’s world number one Trump held his nerve to win the next two frames with breaks of 84 and 71, to secure a quarter-final meeting with Murphy’s conquerer Lei.