I have the same blade and tip I think Uses a GTN xx clone.
I part off reasonably slowly, because thats the way I have always done it, and I am not about to change since I get perfect results and a good finish. I have, in the past bust a couple of tips. And like you, when getting near centre, but in both cases the cause was a relatively slender job, which climbed. The answer was tailstock support, and I suspect that that climb has more to do with it than revs - well I think one can be certain of it, because the steel doesn't know what is cutting it, and carbide has few feelings. All that mtters is flex and the rake, and the cutting forces generated, whatever the tool material..
Lathe size?
The supplied tips are GTN 2 clones, and they are negative rake tips, which means that relatively they are "harder" to push in which is why its actually very difficult to get them to dig in, at any speed - even the 300rpm I use on the Myford. If you want a smoother feel to the cut, then use a GFN tip, which is dimensionally interchangeable, but is a positive rake tip. Alternatively, increase support/rigidity, and decrease the feed rate as you get near centre. Obviously.