My take on the 22-250 for medium game:
Biggest Animal a 22-250 will take down?: this looks like a reputable website to me:
http://www.biggameinfo.com/BalCalc.aspx
Approximate answer: up to 150 lb game out to about 150 yds. Depends on bullet weight (55 gr and up is better), muzzle velocity, BC and Sectional densities. I ran a few examples using factory data from Corbon, and CustomCartridge using Barnes bullets and got the above numbers.
1-Only use big game bullets (not varmint), Barnes TSX, and others mentioned here, lots of good advice from experts.
2-The biggest drawback I can see is 22-250 factory barrels don't seem to come with faster than 1:12" twist rates, heavier bullets like faster twist in general to stabilize them giving better accuracy. Some 223 barrels come with faster rates (from the factory) and overlap with the 22-250 because they can shoot heavier bullets. Aftermarket barrels can fix this for a price.
3-Lots of experienced advice here says heart-lung shots and maybe neck. Studying the anatomy is a good ethical idea also. Pig hearts are between the front elbows, not behind the front shoulder like a deer for example.
4-Better Marksmanship=More ethical.
5-There is understandably alot of 'use a cannon (30-06/7mm mag)' advice assuming you are inexperienced and will make bad shots, are unethical, a wimp about recoil, will use rabbit bullets or some combination of the above, so just make sure its dead no matter how far or what angle by using a cannon. Not crazy advice.
I'd say there is a wide range of adequate calibers, 22-250 is on the light end but perfectly adequate if used properly. There is no black or white answer and arguing doesn't help at all.
If I have overlooked something please let me know, always willing to learn.