I will use your character as an example to show you how to calculate how much Crit you will have with full raid buffs:
Intellect on gear: 15946
You get a 5% increase to intellect due to the Wizardry passive: 15946*1.05 = 16743.3 Intellect. Add the 224 base intellect and you get 16967.3 Intellect, which is what the Armory shows. (Wizardry does not apply to base intellect.)
Raid-buffed, you will have +1000 from a flask and +275 from food. These are affected by Wizardry: 1275*1.05 = 1338.75.
1338.75 + 16967.3 = 18306.05 Intellect without a Stats buff. The Stats buff does apply to your base Intellect, so your raid-buffed Intellect will be: 18306.05*1.05 = 19221.3525
This adds 19221.3525/2533.66 = 7.586% Crit.
7560 Crit Rating on your gear adds 7560/600 = 12.75% Crit.
You have a base crit chance as a mage of about 0.91%.
0.91% + 12.75% + 7.586% = 21.25%
Now, add in the crit raid buff and crit suppression:
21.25% + 5% - 3% = 23.25%
This is exactly what Mr. Robot shows for your current gear's raid-buffed Crit. So, we do indeed take into account the Crit raid buff - and all other applicable buffs and modifiers. Rest assured that Mr. Robot is calculating stats correctly!