Can you explain why the saddles in such a case might need tweaking?
Honest question, I know you know more than I and I want to learn.
In my head, assuming the saddles were ok before string change, the actual bottom of new flats would be in the same place as the old strings…in other words, with new flats that only thing that changed would be tension and therefore relief.
A few reasons. Different strings have different compliance as they rest on the saddles. Some will ride lower in a groove or notch.
Also the intonation will most likely be different when changing brands, gauges or wrap types. Moving the saddle will affect the string action a little as well.
When installing TI flats, make a sharp bend before cutting them. Also, pre-set intonation so the saddles are back a bit too far. (Flat) So that when you do set intonation any preliminary kinks in the string are behind the saddles.
Follow usual set up order after string installation. Tune to pitch, capo fret 1, press down at fret 17 where the neck joins the body and use common automotive feeler gauges to measure relief around fret 7. A good starting point is .012” of relief. That’s Fender factory number. It’s a little high but a good start.
Once that’s set, take off capo and set each string to 6/64” above the 17th fret by raising or lowering the saddles. Again a little on the high side but a good start.
Then set the pickup height to manufacturer recommended distance. Fret at the last fret and measure the distance between the string and the pickup pole. Adjust the pickup up and down to the recommended clearance at the high and low string (E and G on a 4 string).
Final step is to adjust intonation so that the 12th fret produces exactly one octave high using an electronic tuner.
Play it a bit then adjust string action and relief to taste.
Optional is filing the nut slots, but this can be a delicate operation that may be better left to a pro.