Grant lost about 55,000 men in 6 weeks of almost continuous combat that comprised the Overland Campaign.
Lee lost as many men (about 35,000) in the Overland campaign as he did in the 4 days of battle that Antietam and Gettysburg comprised. Shovel up your on rational if you want. Bottom line. Grant won, Lee lost. In war, winning is the only thing that counts.
You are trying to pick and chose whatever sources you like.
I've checked mine.