There are many disputed territories shown - Palestine (especially the bit bordering Jordan, which bares no relation to the facts on the ground), or Taiwan which is shown when only a dozen countries recognise it. Northern Cyprus which is defacto a different state to Mainland Cyprus isn't shown, but the UK military bases are shown. Gibraltar is erroneously shown as part of the UK, but the Falklands aren't shown at all -- nor are many other island territories. Hong Kong and Macau aren't shown as separate to China.
It's difficult to know what the definition for inclusivity is.
Adding cells that don’t correspond to a country (like your proposed white circle) would make the map less accurate.