The stuff that the Frog system uses is not the same a DiChlor tabs.
Having said that, the stuff the Frog system uses is not too swift. It is basically the same thing as those bleach tabs that your hang or put in your toilet tank. It is a different form of chlorine. They do not work great for a number of reasons. They are also quite expensive.
Tabs are really not good in a hot tub. They dissolve too fast and tend to over chlorinate the water. Tabs also add stabilizer (CYA) to the water, which you do want, up to a point. Stabilizer is a double edged sword type of thing. It helps "protect" the chlorine so it does not dissipate too quickly, but it also makes it less effective so you need more ppm to keep the water sanitary. Too little CYA and your chlorine will deplete quickly, too much and you will need to have large amounts of chlorine in the water to keep things clean.
What many people here do is referred to as the "DiChlor then bleach" method. They use DiChlor granules (which are the same thing chemically as tabs - but you are able to control the dose) to add chlorine and CYA until they get to a point where the CYA is where they want it (30 ppm or so). They then use bleach after that point to add chlorine as necessary - or some people use a salt water chlorinator as Maggie does, which is the same thing as adding bleach, you are just making it with salt water and electricity as opposed to getting it from a jug.