Scattergun certainly, impatient even worse, and you could argue he does better with hires he stumbles into under duress (Jol, 'Arry, Poch, Conte) than those who he's intentionally chosen as being the next step in his project (Hoddle, Santini, AVB, Mourinho).
But those four successes were all really the right man at the right moment for the club and besides Conte none of them was an obvious choice. And even the failures, where they have been actual permanent hires (so not Sherwood, Mason, or lets be honest Nuno) have been high quality CV's.
Even Ramos had a high-quality CV, though I'd mark him as the only genuine all-out fuckup among Levy's hires. And because god has a sick sense of humor he's ENIC's only trophy winner.