No, I do not think "regular elder visitation is sufficient to clear them in their duty." The duty of overseers to carefully watch (I believe the Greek in Hebrews 13.17 is literally "be sleepless") over the souls of those placed in their care, a duty which goes beyond checking off that they've visited the congregants before coming to the Lord's Table.
But, if a congregation was mature enough in their faith and practice to participate weekly, then, no, I do not see any reason (in Scripture or in the standards of any Reformed body) why the elders would need to visit everyone before every administration - they should be focusing on those in the congregation who are less mature (yes, that might mean "visiting" with those folk weekly). It is, in my mind, the same principle of leaving the 99 sheep "in the wilderness" to seek the one that had strayed. In a less mature congregation, I would see the reverse in operation (visiting most folk before every observance). In other words, I see frequency as inversely proportional to pastoral visitation - and that I do sense in Scripture and in the standards.