Isn't the faustian bargain a warning against taking money from unscrupulous lenders? The promise of riches, but in the process you lose your freedom (still true for business owners)
You're certainly free to call borrowing money a "deal with the devil" or a "Faustian bargain", if it's something you can describe as metaphorically "selling your soul" -- e.g. losing control of your company or giving up your vision for it -- but the concept did not arise out of anything related to lenders.