Krinsky's annotations in Meḥōqeqē Yehudā make frequent reference to thinkers of the Haskala, such as Heinrich Graetz, S. D. Luzzatto, and especially Moses Mendelssohn.
The haskama (letter of approbation) of Rabbi Eliezer Rabbinowitz, prefixed to the Genesis volume of Meḥōqeqē Yehudā, refers to Krinsky as "God-fearing", an epithet that makes it clear that Krinsky was observant of Jewish law.