DL's will build wide lat's if you have the potential and upper body structure (genetics) for width. Check out some of the PL'ers for thick and very wide backs. And DL'ing is their prime back movement.
Medium to close grip pull exercises tend to hit the major mass of the lat's/back more so than a wide to extra wide grip. Though with that wide grip, you will get a different angle on the stretch. Which can have an influence of lat growth. Another related example would be the SLDL, which does not involve any director full muscle contraction of the ham's. But does allow a good ham stretch and growth. Wide grip stretching and pulls (for example) may be good for some. BB/DB pullovers, though mostly narrow/medium gripped, give a combination of a full stretch and full muscle contraction. One of the reasons it's can be a major lat exercise. If a pullover machine is in your gym (preferred where the elbows are on pad's, leading the exercise) than you might consider that as a must do movement for the lat's.
Any complete back/lats workout should include a overhead pull (like chins, lat pulldowns, etc). A out front of the body pull to the chest/abs (BB rows, sitting cable pull, etc). And a upwards pulling motion (like up-right rows, cleans, Hi-Pulls, shrugs, etc). In the DL ,the upper body (including grip) is keeping the BB stable and in line, where the actually lifting is done by the legs & hips/lower back. Which may suggest the important of semi static holds for development and strength in anyone's baclk program.
My current back programs, as of yesterday:
1. Chins..weighted, drop set..medium hammer grip
7 reps..drop weight
5 reps..drop weight
4 reps..drop weight
3 reps..drop weight
6 reps final set with just bwt.
Just one set of this drop set style
2. DB row..alternate...Elbows wide and out
hits the rear delts very well also ...one set of 7-12 reps
3. Hi-Pull... DB
two sets..first set full range, second set half way up...7-12 reps
4. BB shrug on rack..12-20 reps..one set
5. SLDL....no deeper than the 45's allow..12-20 reps...one set
6. Pullover..DB,bent arm...10-18 reps..1 or 2 sets
Good Luck.