I have always assumed that highlighting meant ‘colouring in’, although on my copy of the grid I usually draw red lines.
In the preamble to EV1469 the wording is ‘... highlighted by drawing lines through the relevant cells’. This is quite logical - drawing lines does have the effect of highlighting the objects. So I wonder if drawing lines would be an acceptable response to the oft-repeated instruction to highlight things.
Only last week, in Listener 4641, there was a requirement to highlight four objects, two of which shared a couple of cells. Indicating these by lines rather than colouring the whole of the cells gives a much clearer illustration of the objects concerned. I hope this approach would be accepted.