Since the Nazi administration revolved around Hitler's deputies acting based on their interpretation of the "Fuhrer's Will", did his deputies (e.g. Himmler and Heydrich) persecute the Jews more than what Hitler had in mind?

Furthermore, were there instances of mass persecution/extermination during the implementation of the Final Solution which Hitler was unaware of/ not responsible?

I thought of this question after reading this excerpt from "Hitler's War" by David Irving:

"In October , even as Himmler was disclosing to privileged audiences of SS generals and gauleiters that Europe’s Jews had been systematically murdered, Hitler was still forbidding liquidations – e.g., of the Italian Jews in Rome – and ordering their internment instead. (This order his SS also disobeyed.) In July , overriding Himmler’s objections, he ordered that Jews be bartered for foreign currency or supplies; there is some evidence that like contemporary terrorists he saw these captives as a potential asset, a means whereby he could blackmail his enemies. Wholly in keeping with his character, when Hitler was confronted with the facts he took no action to rebuke the guilty; he would not dismiss Himmler as Reichsführer SS until the last day of his life."

Thank you! If I have missed out anything important, please let me know (This is my first post on this sub)