Well, the main reason would be that you have never seen footage from the opening waves on Omaha beach. I talked here about the military's fairly extensive campaign to provide documentation of the war, and D-Day was no different. But, due to a few factors, including the actual loss of much of the footage, and "loss" of the rest in archives, barely any has been seen by the public.

Many people have asked this question, so maybe use the search function to get better answers than mine, but here it goes.

The fighting was the heaviest of any of the D-Day beaches. Out of 34,250 people landed on Omaha 3,880 became casualties (killed or wounded) which is roughly x4 the casualties of the next highest beach (the Canadians/British at Juno with 925 casualties out 21,500 landed).*

Still these casualties were lower than the paratroopers (1,240/7000 for the 82nd, 1,260 out of 6,600 for the 101st and 1,200 out of 6,000 for the 6th).

It should be noted that there was heavy fighting everywhere. Even at Utah beach hundreds of real people died. The reasons for the heavy casualties at Omaha come down to a combination of the quality of the German defenders, the terrain and the bad weather.

Source: Major and Mrs Holt's Definitive Battlefield Guide; D-Day Normandy Landing Beaches (by Mr and Mrs Holt 2014 pen and sword publishing)

*I am aware that Juno was 'the Canadian beach' but large numbers of the troops were British and, in my opinion, it is a shame they don't always get recognition for this.

Could you clarify what SVP is?