I’ve long used the double ⌘P short cut – but my second ⌘P is set to “Save PDF to DEVONthink”. Combined with configuring “Import” in DEVONthink preferences to “Select Group…” (which means “ask for a destination every time you import”) I can print PDFs of web pages directly to DEVONthink. Saves keystrokes over the standard DEVONthink import methods.
For “clutter free” imports to DEVONthink, I have a Keyboard Maestro macro that puts the Safari tab into Reader mode and then executes the double ⌘P shortcut.
FWIW, any other print-to-PDF destination can be given a distinct shortcut. E.g., ⌘P⌘Q for saving to Curiota for import to Curio.