Yes I would.
I've shot a fair number of deer with the 223 Rem and a few with a 22-250, not sure of the total number, probably better that 50 and less than 100. I believe I used 69 SMKs, 55s of varmint varieties, and a few odds and ends.
Most deer aren't difficult to kill and a well placed shot certainly decreases the shot-to-dead time.
My off on a tangent thoughts (happens to me sometimes).
If being called a "dumba$$" is what's driving your cartridge decision you're gonna be very limited to who and how and with what you hunt. A 223 is fairly high on the list of cartridges that automatically draw a "dumba$$" remark from folks no matter the area of the country you're in.
Examine the following chart of what "local" hunters could call an adequate (normal) deer cartridge. The area in dark blue could be considered "normal' for any particular hunting cartridge (deer hunting cartridge in this case). The normal zone could include the 30-30, 308, 30-06, 300 Win mag and 7mm. As soon as your cartridge selection includes the likes of 45-70, 444 Marlin, 243, 6mm you are probably in the section scientifically labeled "possible dumba$$", but you can be sure that if you use a 223, 22-250, 25-20 Win, 458 Win mag, 460 Weatherby or 505 Gibbs your selection is in the "dumba$$" section.
Keep in mind that this distribution chart is based on nothing more scientific than what hunters are accustomed to hearing that other "successful" hunters are using as a cartridge. If a large number of hunters successfully bag deer with a 223, or a single very successful hunter bags deer with the 223, the 223 it will become a "normal" and acceptable cartridge (this may take several generations in some areas).
My simple 2 cents worth.
(No government money was spent conducting the presented 'study'.)