thrombin cleavage

[higherme]

A protein of interest is bound to a GST tag. I want to separate the GST tag by using a protease. I found out that thrombin has two cleavage sites in the protein sequence whereas trypsin had more than 20 cleavage sites. I should pick thrombin over trypsin because it is more specific. Is that correct? so the chance of cutting at the right place on the protein is also higher?
can someone check if I am right.
thanks