I recently asked my TA for a LOR. He said that Adcomm wouldn't care about his opinion, but would get the Pres of the school who actually taught the class to write the LOR with my TA's input. My question is, will this LOR really mean anything coming from the Pres of the school? It is a top tier school, not quite Ivy. How much do LORs really influence the Adcomm. Just wondering how excited I should be about it.