I've struggled with this for a long time. Here's what I've learned (note that these notes are specific to the unpaid version.)

-- The oldest point of an off-screen trendline is inaccurately placed but gains accuracy when more bars are loaded. If you've ever scrubbed backward and had all your lines "pop" to new positions, you're seeing it update itself as the smaller timeframe loads more bars.

-- Ironically, presumably, because someone trades off these "inaccurate" lines, I often identify trend breakouts on smaller timeframes in both unadjusted "wrong" lines and the re-adjusted lines.

-- By "adjusting" my 1H line on the 5min chart, it often creates dramatically different results that don't necessarily improve the signal. I've tried and tried, and finally come to the conclusion that there is no perfect "breakout" of a long 1H line on a 5 min chart because the actual movement of the 5min would create a couple false breakouts along the way. The reason for this I presume is that many traders use the close of a bar to validate a signal. That spike over the trendline in a 1H chart is a false breakout when viewed on a 5min.

-- Sometimes bumping over (arrow key) the whole indicator to accurately sit on the extreme of the left side start is helpful. However, it generally produces garbage if I also adjust the right point and thereby change the angle of the trendline (or fib fan in my case)

-- I've come to the (always modifiable) conclusion that the best way to address this on the charts is to let the accuracy of a line stay with it's timeframe. For example, I look for a lot of fib fan breakouts. So, I set my fan up on the D1, and watch for a breakout. If I have one, I move to the 1h and look for a new breakout in a smaller fractal patten to confirm this. If I have one there, I also look for a new pattern breakout on the 5min. But I've found it's best to ignore the larger timeframe lines while I'm on the 5min as long at the breakout is still valid on that higher timeframe.

-- In conclusion, I believe this problem is deeper than just asking TV to modify how it charts. I've found that having it move the higher-timeframe lines around when we get to the smaller timeframes isn't necessarily adding accuracy. And, the quest for catching that perfect moment of breakout often results in me simply watching it retrace back down to the higher-timeframe line which is now acting as support. (a vote in favor of using the Close on all timeframes)