I managed to do a couple of experiments this evening. First, on the question of 'pull in' I did some trials with a 1-1/4" bar of brass (CZ121 I think) and a brand new 0.4mm corner radius CCGT insert for aluminium. All tests were done with a spindle speed of 800rpm. I tried parallel turning at 4, 8 and 12 thou per rev, with a depth of cut of 50 thou. In none of the tests did the saddle get pulled in. I then tried facing off, again with a depth of cut of 50 thou and feedrates of 4, 8 and 10 thou per rev. My cross slide is quite loose, I can easily move it back and forth by hand, but at no time did it pull in. This was the case even at the end of the facing cut, the tool probably being 8 thou or so below centre height. So for me at least pull in with brass doesn't appear to be a problem when turning. Drilling of course is another matter.
I also did some parting tests on the same bar of brass. In all cases spindle speed was 370rpm and feedrate was 6 thou per rev. The first test was with the top slide locked, and the gib screws done up tight. There was no problem, as one might expect. The second test was with the top slide unlocked and the gib screws set so that the top slide moved nicely, with being loose. Again there was no problem parting off. The third test was done with the gib screws wound all the way out, so that they weren't doing anything. I measured the lift on the back of the top slide as about 25 thou. The parting off was fine, with no lift of the top slide until the last 1/16" or so of the diameter, when the remaining pip normally fractures anyway. The top slide lift, such as it was, was without drama. If anything the parting tool was probably a bit below centre.
While I wouldn't plan to part off with the top slide loose, I'm not convinced that the top slide necessarily plays much part (yes, I know it's a pun) in the parting off saga. Chatter is quite a high frequency effect, many times the spindle speed. I think that chatter is generally caused by an interaction between the tool and work. The toolpost and top slide may add a little to the effect if they are not particularly rigid, but I don't think they are a prime cause.
Andrew