Not sure if it's the most efficient use of teleport. Most junglers that take teleport use it for one of two reasons:
- To gank a lane
- To get back to the jungle from base.
This way you can do your full jungle run, teleport to the turret near either krugs or gromp, and then do your rotation again. This has two big benefits over using teleport to get to red faster.
- Teleporting to a ward at red gives you the full teleport cooldown, whereas teleporting to a turret gives you the reduced teleport cooldown.
- If you take gromp then teleport to red you now have the awkward decision of how to finish your jungle run. Do you go fight krugs, then go down to raptors, then back across to take your blue buff? Do you teleport to red then run across to blue? Do you stop at raptors or wolves?
Most junglers that start krug/gromp to get the bot side leash, then do the buff closest to them, then go across to the other buff (maybe doing a camp to let smite come off of cooldown; though this may change with smite having charges). After that they decide whether to gank, keep jungling, or base to heal up and do an initial buy so they can gank/jungle. If this is the case, basing then teleporting to tower would save you more time.
It is an idea, but I don't think saving the small amount of time to get to red just a little faster offsets the cost of having teleport on its longer cooldown.