Based on the information available, there is no definitive evidence to suggest that Lipitor's side effect severity increases with a high-fat intake. Lipitor, a statin medication, is used to lower cholesterol levels and decrease the risk of heart disease [1].

Statins like Lipitor work by blocking a substance your body needs to make cholesterol [2]. High-fat intake can increase cholesterol levels, but it does not directly affect Lipitor's side effects [3].

Common side effects of Lipitor include headache, stomach pain, constipation, and nausea [4]. More serious side effects can include liver problems, muscle damage, and increased blood sugar levels [4]. These severe side effects are not known to be influenced by dietary fat intake [5].

However, it is generally recommended to maintain a healthy diet while taking Lipitor or any other medication. A balanced diet can help manage cholesterol levels and overall health [6].

In conclusion, while high-fat intake can impact cholesterol levels, it does not necessarily increase the severity of Lipitor's side effects.

Sources:
[1] https://www.webmd.com/cholesterol-management/lipitor-oral-capsule
[2] https://www.mayoclinic.org/diseases-conditions/high-blood-cholesterol/in-depth/statins/art-20045786
[3] https://www.drugs.com/lipitor.html
[4] https://www.medicinenet.com/lipitor-oral_capsule/article.htm
[5] https://www.ncbi.nlm.nih.gov/books/NBK64821/#:~:text=The%20risk%20of%20muscle%20damage,in%20patients%20taking%20statins%20alone.
[6] https://www.drugpatentwatch.com/drugs/lipitor