Bull. We traveled just fine with two kids. Get a Pack-n-Play. At a certain point, yes, you need to make arrangements, but the first year is a breeze. I'm not saying the parents should be inconvenienced, just that moving the game isn't a requirement. We had a "play at the DM's house" table rule and kept it. Fortunately, the DM also had a kid-proofed house (that's a side note, BTW), so we were able to continue gaming at his house for some time. I took over the game before child #3, so I can't tell you how that would work, but I suspect not as well -- both because of number and the age of the eldest.
We've always played in an area that had a couch. My wife would sit on or behind the couch, facing away from the group while she fed.
Both of these are, unfortunately, not as much use in my own circumstances. There just isn't the space in my flat do get a crib-like-thing set up, or at least not without an awful lot of rejigging in general. (Although that might not be a bad investment in the long run.) And seating is at a premium as it is - seating facing away from the GM would also be a bit awkward. (Although we do have a kitchenette right next to the play area where someone could retire for semi-privacy, I suppose.)
A certain amount of that was because it would have been understandably distracting to the 17 year-old male (among others) in the group, but it was also due, in part, to her own modesty and babies feed better when there isn't a bunch of movement around them.
Yeah, that's an important point which perhaps gets lost when discussing this issue - it isn't always the men who are the embarrased or awkward ones over breast-feeding in public.