October War.... Yom Kippur War?

The thing I don't understand is why is there such a controversy over this?? ppl on both sides say they won. I am an Egyptian American citizen. But I am biased. So lets look this through, If I am not mistaking Sinai was attacked by Israel and conquered. What happened was in 1973 Sadat invaded Suez by blocking napalm holes and watering down the sand walls.

Lets skip the whole outline of the war but, why is it that it is said that the third army was surrounded and they could have lost. Egypt could have destroyed the surrounding forces but that would yield in death of the third army which they didn't want, Though could have done. And correct me if I'm wrong the Israel army when they crossed East across the Suez Canal they were heading to Ismalia but were stopped. Where does it say they were surrounding them? And besides.. it doesn't make sence.. Doesn't Egypt have domestic forces? That technically if you look at it the forces they say surrounded the third army were also surrounded themselves?

Any way the best we could ask for is peace, which has happened. But why is there too much propaganda saying that we are monsters when all we wanted to do was reclaim our birthright land. Just been a mystery to me.