grid deduction - Double feature: Weightier

_{This puzzle is part 7 of the Double feature series (first part here). The series will continue in "Double feature: Going postal".}

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Rules of Statue View¹

• Insert the four given pieces (7, Y, t and G) into the grid by shading some cells. Pieces can be rotated and reflected.


• The numbered cells cannot be shaded.


• Pieces cannot be adjacent to each other vertically or horizontally, but they may touch at a corner.


• All unshaded cells must be orthogonally connected.


• The numbers give the total lengths of shaded cells starting immediately adjacent to the numbered cell and extending outwards from it.

Across
4. Strike is rescheduled, starting in the morning (3)

6. Morse-coded traditional customs (5)
7. Throw support for broken arm (5)
9. Gradual decline in web broadcasting (3)
12. Neon signs covering millions of years (4)
13. Predict knocking back unlimited drink (5)
14. Agent buried in Egypt's pyramids (3)
16. Inside of a simpleton (3)
19. Taiwan's mythological bird (3)
20. Outspoken deer man with goat's feet (4)
21. Perhaps a Persian carpet's surface has the first sign of abrasion (3)

Down
1. Bother a starship captain after losing head (3)
2. Go after good French drum (5)
3. Break a downturn after charge is dropped (6)
5. Pleasant-sounding physician seen around large office's entrance (7)
8. Captured by generous dictator (4)
10. Youngster's corpse is missing part of heart (3)
11. Flaws of awards needing no introduction (5)
15. Unit essentially trapped in extreme terrain (4)
17. East African a great distance away (4)

18. Sample of a traditional stout (3)

_{¹ Paraphrased from the original rules on Puzzling Stack Exchange.}

Solve both puzzles to answer the question: What does "weightier" mean?

Answer

Answer is

MORE SIGNIFICANT

Grids and Clues

Note: A20 should be faUn instead of faWn. Sorry!

Explanation to Clues

D1: (-k)IRK _{Thanks to @ChrisCudmore & @PiIsNot3}
D2: BON+GO
D3: RECESS(-ion) _{Wordplay thanks to @ChrisCudmore}
A4: R_+AM

D5: ME(L_O_)DIC
A6: *MORES
A7: SLING (ddef)
D8: _NERO_
A9: _EBB_
D10: BO(-d)Y
A11: (-o)SCARS
A12: _EONS_
A13: _CIDER_<
A14: _SPY_

D15: _P_+IN+T_
A16: O(A)F
D17: A+FAR _{Wordplay thanks to @ChrisCudmore}
D18: _FAT_
D19: ROC (ddef)
A20: FAUN (hp ~fawn) _{Thanks to @ChrisCudmore}
A21: C_(A_)_T[def=perhaps a Persian] _{Thanks to @ChrisCudmore}

will continue later...