In this style, one typically puts the closing period on a separate line by itself, or possibly with the CONTINUE verb. This way one needn't worry about the period when rearranging the real verbs.
Yes, it happens. However, it is not obvious that the new scope delimiters are less subject to the same kind of abuse. You probably won't type END-IF by accident, but you could certainly omit it or misplace it by accident.
It is obvious that END-IF and its kindred take up more space than periods, and are more trouble to type.
(See the comments by Lee Beaulieu.)
Largely for that reason, I generally follow the traditional usage of periods. I use END-IF and the like when they come in handy, but I have launched no crusade to banish unfashionable punctuation.
This policy is also based on history. Much of my application dates from the early Cretaceous era, before END-IF, etc. were available. You might say that it is a period piece.
If, like me, you find yourself more likely to abuse END-IF, then use periods in the traditional way.
Whichever way you jump, be consistent. Mixing a no-period style with occasional unnecessary periods invites confusion and heartache.
Above all, don't make a religious issue of it. It really isn't that important.