Yes but why do you think the 2001 Budget was the main reason for the recession? I thought its basis was the internet and technology companies. Its hard to argue with a budget that had a multi-billion dollar suplus like the '01 did.
The budget establishes the economic climate for the country.
Really Clinton gets the blame for the March 2001 recession for not doing anything to try and stop it from happening for the last two years of his Presidency. It was obvious the bubble was bursting and the the Clinton admin took no action. By this point he was desperately looking for a legacy.