No. I reckon he could justify Munich or Germany at this stage of his career and his record would look decent.
Managed the team he played for into the top league and kept them there.
Took on a big club in Germany and toppled Bayern for a period of time.
Moved to another country, won the league and European Cup with them.
If he stays much longer at Anfield and doesn’t maintain the last two seasons, he risks ruining his reputation.
I simply don’t see Barca or Madrid as the types of clubs that will allow a manager time to build as he was afforded with Liverpool.