I wouldn't stake my life on that. Ebola Tai Forrest (Cote d'Ivorie) was discovered when researchers became infected during a necropsy on a dead chimp discovered there. While I have not been able to find information on how fresh the corpse was--if such information exists, that any virus present had been present more than two hours after death is entirely possible. The carcass was one of a troop of chimpanzees that had been monitored for 15 years, and was freshly dead. According to the researchers, other members of the troop had been found dead with "obvious signs of hemorrhage" but were too far advanced in decomposition to analyze. The freshly dead chimpanzee was autopsied in the field, and tissues were formalin-fixed and sent to France for analysis.
Reference: Le Guenno et al., The Lancet (1995) 345;8960: 1271–1274.
So it appears that what my friend said about viral inactivation kinetics in dead bodies applies here.
SURVIVAL OUTSIDE HOST: Filoviruses have been reported capable to survive for weeks in blood and can also survive on contaminated surfaces, particularly at low temperatures (4°C) Footnote 52 Footnote 61. One study could not recover any Ebolavirus from experimentally contaminated surfaces (plastic, metal or glass) at room temperature Footnote 61. In another study, Ebolavirus dried onto glass, polymeric silicone rubber, or painted aluminum alloy is able to survive in the dark for several hours under ambient conditions (between 20 and 250C and 30–40% relative humidity) (amount of virus reduced to 37% after 15.4 hours), but is less stable than some other viral hemorrhagic fevers (Lassa) Footnote 53. When dried in tissue culture media onto glass and stored at 4 °C, Zaire ebolavirus survived for over 50 days Footnote 61. This information is based on experimental findings only and not based on observations in nature. This information is intended to be used to support local risk assessments in a laboratory setting. Public Health Agency of Canada EBOLAVIRUS PATHOGEN SAFETY DATA SHEET - INFECTIOUS SUBSTANCES
While, admittedly, viability is a multivariate situation, I find it hard to believe that the virus cannot survive as long on/in a corpse as it can in fomites.