You both make good points, however VD was a REAL problem during the war and in fact, when I went to the 36th Combat Engineers reunion, one of the men said, "Had anyone talked to you straight about VD during WWII?" Since I'm an historian, they wanted me to hear the straight scoop.
The guys told me that many a guy was infected with VD and that some of the guys even got it on purpose! 
What you say? Well for SOME of these guys, it was a way out of the FRONT lines and they'd do ANYTHING to get the hell out of there. So in the early days of the war, they knew they'd get five days on sick-leave. You'd get treated and then sent back, but you were guaranteed time out. But they explained that later in the war, penicillin and other drugs were coming of age and well... no more guaranteed 5 days. They'd give you a hefty dose of penicillin and kick your sorry butts back to the front. They said that came as real shocker to some of these guys. No more excuses.
Yes, during the Anzio Beachhead, most guys didn't have the time or the luxury of meeting woman, but it still went on with some of the troops, who could get leave or sneak out when they could. Heard this from the vets themselves. 
There's a lot of info on VD during the war and you'd probably be surprised or even shocked (at least some would), at what went on over there. One official army medical stat said this, "...although WW2 still numbered 606 men who came down with VD each day.) Multiply that by 365 and you'll find that over 210,000 men would be diagnosed within one year! Yikes! 
Proud Daughter of Walter (Monday) Poniedzialek
540th Engineer Combat Regiment, 2833rd Bn, H&S Co, 4th Platoon
There's "No Bridge Too Far"