With a bit of practice, you can work the bolt plenty fast enough to safely cover most follow-up situations. Both are proven, but you have to make a choice. Interestingly, according to several Houston-area gun retailers, the momentum seems to be shifting back to traditional wood. If you don't, the next guy in line probably will. Good wood always has class, a fact the gun-buying public seems to be rediscovering.
Weight is another consideration.
Gun weight for Texas whitetails really is not a factor. Frankly, I prefer a heavier rifle. The heavier gun seems steadier while taming recoil. Again, this is a personal prejudice. Many excellent deer hunters use the lightest rifles they can obtain, and shaving a few pounds certainly would be a consideration if you anticipate any mountain duty for mule deer or sheep.