A jig n craw or T rigged Craw is often effective in the same waters although there are differences and the fish will normally show a preference as well. A T rig, different from a jig, can have a free sliding line weight or pegged on the line weight depending on the use or preference,
As gripnrip mentioned above, between a jig (especially skirted w/weedguard) and a same weight T rigged/craw, pegged bullet weight sinker, the jig/craw will fall considerably slower due to the added bulk of skirt, guard, line tie direction etc., causing added water resistance. The Speed of fall is a key factor especially when flipping/pitching. Also, a cast/drag technique with a jig is sometimes better than T rig especially if you have a good standup head design like football jigs or the Siebert Outdoors Brush jig or Moaner Predator jig.
Another difference in any given craw design whether rigged on a jig or as a T rig, the profile or bulk with the skirted jig presentation is increased making it easier to notice from further away as well as the skirt motion can add a bit more movement or confusion which somtimes increases bites. Often, a craw as a jig trailer will last longer than when used as a T rig set up, and a jig requires a touch more finessing through the brush and trees than a T rig to avoid hang up's.
Another possible advantage of a jig n craw set up, is an anglers ability to quickly change and tweak colors with the huge variety of contrasting color options between their Jig and Craw colors... Sometimes it's THE TICKET
The fish will most often show their preference on whether the jig or T rigged craw (with color, speed of fall etc. being the same) is most effective at any given time, so IMO cking is a good idea.