Word for a topic that encourages bias
Some topics are not controversial so it is easy to be neutral and rational when discussing them. Other topics are more controversial (e.g., abortion) so they make it difficult to remain objective. Regarding the second group, I want to say (with the word "topics" as subject):
Some topics [] biased analysis.
What to put in the brackets? Encourage? Promote? Facilitate? Are vulnerable to? Are prone to?
Assuming bias would be a bad trait for an analysis, consider tempt:
1 Entice or attempt to entice (someone) to do or acquire something that they find attractive but know to be wrong or not beneficial.
Lexico
In your sentence:
Some topics tempt biased analysis.