Everything is false!
1. Sang "It Is Me, Babe": BOB DYLAN
9. Per Brian Wilson, she never changed: CAROLINE
10. 12:00 PM: MIDNIGHT
11. Something done on purpose: ACCIDENT
12. One who runs a newspaper or magazine all on their own: COEDITOR
13. "A big truck" that you "just dump something on": INTERNET
14. Quality of mercy: STRAINED
1. William Sessions says they use drugs: WINNERS
2. Food produced with pesticides and additives: ORGANIC
3. Capital of Washington: SEATTLE
4. Conjurer of cheap tricks: GANDALF
5. Jewish person: GENTILE
6. Monday through Friday: WEEKEND
7. Prime numbers have several: FACTORS
8. Officially known as "Burma": MYANMAR
Even the rule that "Across and Down entries always intersect" is false. Entering the Across clues looks like this:
| B | O | B | D | Y | L | A | N |
| C | A | R | O | L | I | N | E |
| M | I | D | N | I | G | H | T |
| A | C | C | I | D | E | N | T |
| C | O | E | D | I | T | O | R |
| I | N | T | E | R | N | E | T |
| S | T | R | A | I | N | E | D |
The Down clues look like this:
| W | O | S | G | G | W | F | M |
| I | R | E | A | E | E | A | Y |
| N | G | A | N | N | E | C | A |
| N | A | T | D | T | K | T | N |
| E | N | T | A | I | E | O | M |
| R | I | L | L | L | N | R | A |
| S | C | E | F | E | D | S | R |
The few squares that do intersect spell the answer, ONIONS.