Not altogether uncommon KIBU. Sometimes sellers wait until the get into escrow before they order the pest inspection. Other times they get it before hand to give the buyers additional information. Not a bad idea. If you were interested in the home and there was a copy of the the pest report sitting there when you saw the home wouldn’t you be interested in that?
Generally termite inspections are free as well. In non distress sales the seller will pay for section 1 items on the report (damages due to infestation or sign of infestation) including wood rot. Buyer will pay for section 2 items. However in some distress sales the short sale lender will not pay for termite damages. Sometimes REO lenders don’t as well but most of the time they will.