In reply to:

Are you making the distinction between "ap-ree-shee-ate" and "ap-ri-shee-ate" (difference of how that first e is sounded, like an e or an i) or between the sounds of the "ci," see vs. shee?

I rarely hear anything but ap-ree-shee-ate as the pronunciation.

Now that makes sense! A-prish-iate would be vomitous.