In the link above, that method of lowering alkalinity is simply bogus and has NO basis in science. TFP encourages everyone to manage your pool your own way if it suits you but it does not encourage the distribution of disinformation.
1. The method by which you add muriatic acid to a pool has ABSOLUTELY NO effect on the chemistry results.
2. Spreading acid by walking around a pool encourages splashing and getting muriatic on your clothes...TFP does not recommend that.
3. Adding acid by the "slug" method (pouring continuously in one spot) has been debunked for more than a decade. It can easily be harmful to a vinyl liner pool and has no basis in chemistry whatsoever. TFP does not recommend that, either.
4. By far the safest most consistent way to add muriatic acid to a pool is to pour it gently in front of a working return. Hold the jug low to the surface of the water and you will get no splashing and the acid will be distributed quickly and evenly throughout the pool.
Last, if you want to permanently lower the TA in your pool, please follow the very specific procedure outlined in Pool School. The video above involves careless practices and bad science.