Many built in tank rinsers are about as effective as standing on the flush pedal and perhaps holding a running garden hose over the bowl.. In short, they just run water into the tank.
Now some of them.. like the Tornado, and another that I don't know the name of, Which consists of a short rubber tube that, when pressurized, waggles and wiggles and basically shoots water in ever possible direction... MIGHT do the job better... But I don't know. I know the standard units are not much better than a garden hose held over the toilet
Most of the wands I see (A wand is something you hook a hose to the top end and stick the bottom end down the toilet) are... not much better
However there are two wands I've seen that stand a chance.. ONE I made my own version of
First: I think it's called: The RV-Twister.. this is a wand with a brass spinner on the end.. It shoots two powerful streams of water, and spins to spray them in all directions.. You move it up and down in a motion many will understand. and ideally it will shoot every square millimeter of wall, clean the snesors, blast apart any "poop-a-mids" and do a good job..
I say in theory cause I"ve not tried it
The other is the Valterra Master Blaster.. I have seen this wand in exactly ONE store.. about 3 feet behind me as I type Other than there, and the Valterra catalog, I've not seen it
This is both a description of it and what I did, what I recommend follows
What I did was take a 1/2 inch PVC pipe, it was actually a scrap I had in stock, I put a hose fitting on one end, and an elbow, short piece of pipe and cap on the other end
I then drilled a hole in the end of the cap.. about 1/4 inch (I think 7/32" was the bit I grabbed)
Now you do have to AIM this one at what needs blasting,, IE: The sensor wall, twist and turn a bit as you move it up and down in the classic motion.
The only concern I have with the Master Blaster is that this is basically the design they use, but instead of the very strong 1/2" PVC and cap.. They have a plastic "Fire Hose" type nozzle.. TO my eye it looks like it might easily break off during insertion or removal.
What I suggest is a 1/2 inch PVC pipe. hose fitting on the top (NOTE: Feed it via a backflow preventer or two.. I use two, also a cut off valve) cap the lower end and drill the side of the cap, instead of using the elbow and cap like I did. Will go down the old hole easier if there is no elbow.
I may re-build some day.