I read the start of the thread and title as the "tank lift" and "arm sweep" reg retrievals that are only useful with the golden triangle abomination of a regulator setup.
There are two entirely different
sets of recovery methods in play here, and you need to understand the difference before deciding on practicing them.
The first set are the two methods typically taught in the OW class, with the student kneeling on the floor of the pool. With the "lift" or "reach" method, the student learns to reach back with the left hand it lift the tank while reaching for the hose with the right hand. The left hand lift is only needed because the student is upright, and gravity is pulling the tank down and away. It makes the method very hard to do and requires practice. With the "sweep" method, the kneeling student learns to lean the body to the right, nearly falling over, while trying to retrieve a regulator that is dangling behind.
The second set of methods occurs when you are either actually diving or in a class where the instruction is done neutrally buoyant an in horizontal trim. With the reach method, there is no reason to lift the tank at all--gravity puts the hose right behind your ear, where it is easily reached. The recovery is absurdly easy. With the sweep method, leaning to the right is entirely different--it is more like an airplane tilting to make a turn. It really isn't necessary, because the regulator is usually right in front of you the entire time, and if not, that slight lean to the right will put it there. When in a horizontal diving pose, both regulator recovery methods are so easy that there is little point in practicing them.
So the question is, how are you doing your safety stop? If you are doing it in an upright position, then you are practicing silly procedures that you will probably never use on a dive, unless for some reason you plan to spend the dive kneeling on the bottom. If you are doing your safety stop in a diving posture (and most people don't), then you will find the skill so easy it is not worth practicing.