I wouldn't claim to know anything for certain about Lynch's artistic processes, but I wonder sometimes if he doesn't put more thought into the names of his characters than he'd let on...

Cooper speaking to an unseen Diane... my association would be Diana, the Roman equivalent to Artemis...

In Mulholland Dr., Adam Kesher converses with a distant secretary, Cynthia... that's an alternate name for Diana, as Artemis was born on Mount Cynthus...

Deer images are of course a constant in Twin Peaks... interesting that Diana is goddess of the hunt, and deer images are often connected by way of editing & shot-selection to the young females in the show: Laura, Donna, Maddie...

Diana often depicted with a crescent moon...

Cycles of the moon a constant visual motif... a frequent transition shot between scenes... I actually think they matched the moon phases to the chronology of the plot, including this grandfather clock in Donna Hayward's house...

Near the end of S2, a puzzle box that features the phases of the moon...

In the Lynch-directed finale, Sylvia Horne... Sylvia derived from the Latin for forest & the Horne's always intertwined with the Ghostwood Forest... a string of moon-like pearls over a black shirt...