Flying from Amsterdam with small layover in Hong Kong to Shanghai.

Hi, I have a question about a flight we want to book.
We want to fly from Amsterdam, via Hong Kong, to Shanghai. The layover in Hong Kong is 1 or maybe 2 hours. Depends on the flight we book. After our 5 day stay in Shanghai we want to go to Hong Kong for 4 days. From there we fly back to Amsterdam. Are we eligible for the 144 hour transit visa for Shanghai? I have my doubts because you state that the flight into Shanghai must be non stop. Thanks in advance for your reply.

Kind regards Erik