What's in a Name?
I doubt it was a conscious decision on the writers, but it seems like there were certain names that kept being reused for characters over the years. I don't mean how we had multiple Nurse Ables, Nurse Bakers, etc. but other names.
For example. . . .
We had Trapper John McIntyre, Francis John Patrick Mulcahy, Ugly John, Ho-Jon, among other Johns.
Henry's wife's name was originally Mildred, which was also the name of Potter's wife, then it became Lorraine, which was also the name of Margaret's childhood friend who was temporarily assigned to the 4077th along with Roy Dupree in "Temporary Duty".
There were also a few Franks aside from just Burns, including a Private Frank Daily who was first in line for Payday, and letter Major Frank Dorsett the "Unknowing Soldier" who was dead drunk A Night at Rosie's.
B.J.'s beloved wife's name was Peggy, which also was apparently Nurse Bigelow's first name.
Private Charles Lamb was certainly no Winchester.
There were even a couple of occasions where this was actually a plot point, such as "Officer of the Day" when Hawkeye saw and treated a total of five Kim Lucks ("A new Kim Luck record I hope will stand for a long time"), and later in "Mail Call Three" when Hawkeye finds himself receiving a number of romantic letters from women that are addressed to and intended for another Captain who happens to be named Benjamin Pierce.
And those are just some of the specific examples I can think of off the top of my head.