If I were already using the mouse for the cut&paste step, yeah, it would flow from one to the other. (In practice, I do both the cut-whole-url and paste steps entirely from the keyboard anyway, so using a gesture at all would be flow-breaking. But if I were mousing for the surrounding work it would make sense.)

(I've actually had mouse-based workflows sometimes - I normally prefer a trackpoint, not as a mouse substitute but as "save me from doing weird contortions to keyboard-orient absolutely everything" - but the times when I've been a tech lead and spending excessive time in spreadsheets and planning apps, I've hooked up a relatively fancy mouse and started to develop more mouse-oriented shortcuts. Fortunately I've escaped from that :-)