「Completely, with netting in tray」depicts medical treatment by applying poultices tied by netting to diseased genitalia, with the practitioners not likely desirous of touching the bandages with bare hands, hence GRASPING WITH A TOOL instead. Harkening back to the source Chinese meanings of each element, the original meaning was to PICK UP MEAT USING A UTENSIL because it was just too disgusting or hot to use one's bare hands even for early humans.
　Later extended to USING A LADLE TO SCOOP OUT THE BIG CHUNKS OF MEAT FROM A BOWL that presumably would then be placed on dishes for various individuals to eat,「becoming a plate.」
　「Wild dog swinging erect penis in high tension for a long time and gasping until completion」with「netting in tray」conveys the concept of two (or more) animals in a HEAP as a mass of tangled COPULATING flesh,「becoming a supper plate」for humans, clearly representing animals caught with a「net」while in the act and unable to run away due to engorged bulbus glandis locked within the bitch's vagina, a unique trait of canine dogs.「Become a dinner plate」as SERVE FOOD, PROSPER, PLENTY, and FULLNESS with a bit more color and closer to the actual conditions of the past when all humans ate dogs (and many still do in China). Two locked, entangled and copulating canines might well have become that evening's supper due to having been caught by hunters using a net in the wild act of copulating, and therefore「become an easy dish」with double the amount of evening supper meat. All the other various meanings stem from either the excitement of extra bounty in the fleshpot that night, or perhaps refer to the dog prior to slaughter:.
　To dish it out. To copulate, to bring to a climax, to swell, to rise, to bulge, to be piled up, to rouse, to get excited, uprush;
　Flourishing, vigorous, magnificent, extensively;
　Popular, prosperous, enthusiastic, energetic, vigorous;
　To serve food, etc., to fill up, to prescribe;
　To prosper, to flourish, summit, peak, prime, being at one's best;
　A helping or a serving of food;
　Energetically, vigorously, heartily, actively, enthusiastically;
　To heap up, to stir up, to enliven;
　To blossom, to put on steam, to become popular.
　「Fifth in a sequence and gasping for a long time with trough, vessel」suggests a very horny bitch that is simply never fully satisfied during estrus, or, attending a bachelor party.
　Male canids, the dogs, are endowed with a very special penis, unlike any other species' penis on Earth. The dog schlong is equipped with two glands located at the base of the shaft that engorge and harden upon erection, normally after baculum penetration into the bitch's vaginal orifice (a baculum is a bone located within the dog's penis that enables rapid insertion before the window closes, or the bitch's 'eye' blinks). These locking bulbus glandis swell large enough to prevent the penis from being extracted from the bitch's vagina for quite some time, normally ten to fifteen minutes, give or take a few minutes, to allow the dog's semen sufficient time to get enough of a head start toward the bitch's ova that the male might actually sire some pups. Quite obviously, neither animal can run away and escape hunters while in this condition, making them easy pickings for hunters with a net and some bipping sticks. A 'bipping stick' is a tool, such as an oak axe handle or sawed-off broomstick, used by trappers to stun an animal into unconsciousness by rapping it just above the eyes, enabling removal from the snare without the trapper suffering any personal bodily injury inflicted by the angry animal, now knocked unconscious and with its brain hemorrhaging internally.

Modern definitions (that generally disregard history) …excluding politically incorrect concepts and other meanings deemed offensive today; may list only pigeonholed definitions, euphemisms, or meaningless mnemonics)
Chinese: flourishing; vigorous; magnificent; extensively; to hold; to contain; to ladle; to pick up with a utensil
Japanese: serving, helping, chilled soba served on a dish with dipping sauce, peak, height, prime, one's best days, rutting, being in heat, to prosper, to flourish, to copulate, to serve, to fill up, to prescribe, popular, prosperous, enthusiastic, energetic, vigorous, arrangement of food, serving of food
Unihan extended: abundant, flourishing; contain; fill
EDRDG: boom; prosper; copulate

Used within names (nanori)
もり