Depending on how many gallons your tub is you may or may not be adding enough of either to do anything other than raise the chlorine level and I'm not sure if the amount of non chlorine shock is actually doing anything or is doing very little.
I use Sea Klear non chlorine shock and it's directions are to use 2 oz in a 500 gallon tub for shocking. I have a 400 gallon tub so I just use the 2 OZ (1/4 cup), 1 Tbsp = 0.5oz and may not be enough if you own a larger tub. As far as the chlorine amount - again in my tub 2 Tbsp of chlorine will give me 3 PPM chlorine so depending on how much you add in addition to the 2 and the size of the tub - it may not be considered a shock dose. It also depends on bather load.
A clean person without oils, lotions, hair products, .... produces less of a bather load then a person who has been sweating, put lotions on and what not. The amount of chlorine you want under normal conditions is 3 PPM after 20 minutes that the chlorine has been in the tub. Some people soak with little or no chlorine in the tub and then dose afterwards. As far as shocking is concerned - if you are just raising the chlorine to add extra killing power then adding 2 Tbsp could do that (depending on what the chlorine is fighting, if anything) but it may not burn off the chloramines which will give you that chlorine smell.
As chem geek has said - chlorine becomes less effective as the stabilizer increases to after a certain point. If using dichlor exclusively as your chlorine and you use the tub a lot by the end of a month or so you will have a lot of stabilizer and the chlorine won't be as effective as it was when you had new water.
To answer your question - non chlorine shock needs 20 minutes to work and then it's OK for you to go into the tub. You can soak in higher levels of chlorine especially if your stabilizer is high, it all depends on how sensitive you are to it. My tub sometimes doesn't drop chlorine for days and have soaked in 10 PPM chlorine without any problems.
