I'm a postdoc in computer science preparing an application for a tenure-track full-time faculty position in a US university. The opinions on whether to use a letterhead or not vary: Postdoc using current university's letterhead for job application cover letter (academic/national lab jobs)?, Should I use my university's letterhead for a cover letter for a job application?, Letterhead ethics, The Professor Is In: Why Letterhead Matters.
Which choice is prevalent or advisable for the position in question: with or without letterhead?