Seems everyone is pretty well schooled in the advice column. I can add some info:
How soon (in an optional scenario) should I de-bone wild game quarters? Some hunters have to debone animals to physically transport the meat back to exit vehicle. But, when a hunter can leave legs bones intact they should for at least 72 hours. This critical time period is to allow rigor mortis (muscle contraction) to onset and complete. Muscles get stiff (rigor) during cellular glycolysis, which is the chemical process whereby glucose converts to lactic acid within muscle cells. During rigor meat is contracted (tight and stiff). Since lactic acid is the enzyme responsible for tenderizing meat, it is pretty important to keep muscle groups intact and attached to the leg bones during rigor mortis. Once rigor has come and gone (48-72 hours temperature dependent) it is safe to de-bone legs. If meat is removed before the end of rigor mortis, muscle contraction may not completely dissolve in some cuts of meat and therefore might be tougher to chew. Not always but very likely some of the meat will be tougher than other cuts.
Aging time in 40-50 degrees F? Meat aged 4 days at 50-55 F will tenderize to the same level as meat stored at 40F for a week. Glycolysis is faster in warmer climates and lactic acid tenderization happens slightly quicker as well. The true answer to your question is that it depends on your storage conditions, namely humidity and cellular aW, temperature, wind speed and airflow around the meat. In the broader view there is no benefit to the tenderness of a cut of wild meat after 6 days (post rigor) hung at any temperature. The exception is carefully controlled aging tricks where guys age meat for 11-18 days. This requires a good handle on the science and storage conditions.
Resource for "gutless method" field care:
Project Bloodtrail:
This is a two part video. The gutless method is demonstrated on the "moose hunt" segment roughly the second half of the video.
Mitigating Spoilage in the Backcountry:
This has some temperature specific education you might find helpful.