The first cuts were in 2001... a second wave in 2003... GDP contraction ended in 4Q01, but didn't stabilize until 1Q03. Jobs growth didn't occur until 2Q03. That puts 2003 squarely in the middle of "coming out of recession" territory
All tax cuts are not created equal. The 2001 vs. 2003 tax cuts were, for the most part, Keynesian style cuts vs Supply Side cuts. In contrast to the 2001 cuts, the 2003 cuts were pro-growth because they reduced tax rates on work, saving, and investment. The result was a dramatic increase in economic growth. The type of tax cut passed will have a great deal of impact on the amount of economic growth that is realized.
What does that even mean? You said it yourself, recession ended in 4Q01. The 8.2% growth(it was revised up) was 2 years after the recession ended but only 2 months after the tax cuts. When was the last time the economy grew 8.2% in a quarter?