_{This puzzle is a part of the Puzzling Stack Exchange Advent Calendar 2022. The accepted reply to this query shall be awarded a bounty price 50 status.}

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Solve this small crossword composed of sweet canes, then determine a thematic four-letter phrase hidden throughout the grid!

Across:
1 Eleanor of the Beatles’ Help! (4)
5 Sitcom which spawned the spin-off Frasier
11 Nestlé bar identified for it’s bubbly texture
12 Yell from any individual working to an elevator (4, 2)
13 St Nicholas, maybe
14 Drink
15 Essential for a number of day hikes
16 Believe unquestioningly (3, 2)
17 Rubs in
20 Center of intelligence?
21 Number on the high of many clocks
22 Feature of many on-line profiles
25 It would possibly end in +1 or -1
27 Richard Whiteley and Des Lynam, for Countdown
31 Old-timey chem.
32 Conceive
34 Capital within the Indian Ocean
35 Person stroking home animals
36 Arabic preach
37 Sixth planet from the solar
38 Earliest epoch of the Jurassic interval

Down:
1 Fight in opposition to
2 Close once more
3 Praying statues, in Ancient Greece
4 Letter between E and W
5 X, maybe
6 Heads straight to location (5, 2)
7 Napoleon was exiled there
8 This clue kneads one
9 Tall Indonesian mountain
10 Ladders have lots of them
18 One who lives and breathes
19 2016 Olympics locale
22 2012 Robert Pattinson movie (3, 3)
23 Popular island about 30km from Naples
24 Not me otherwise you
26 Traditional Spanish dish comprised of masa
27 They don’t lie, per Shakira
28 Ancient theatres
29 Badger’s burrow
30 Nickname of footballer Antonio Pecorari
33 Enid Blyton character first launched in The Mystery of the Hidden House

Happy holidays and benefit from the puzzle!