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Turns out it was more of a HTML DOM manipulation.
The code to select the current row and ask it to come into view was:
var ScrollTable = document.querySelector('.SearchTable');
var innerTable = ScrollTable.querySelector('.el-table__body');
var innerTbody = innerTable.querySelector('tbody');
var currentRow = innerTbody.querySelector('.current-row');
currentRow.scrollIntoView();
Source:stackexchange.com