Different makes and types of bullets of the same weight can and will change pressure levels. Variables include jacket material and thickness, bearing surface, seating depth as canulatures vary. A cast bullet, all else being equal, will usually show less pressure then a jacketed bullet. A "hard" solid bullet, like the Barnes TSX, especially the earlier ungrooved version will show more pressure compared to a common cup and core bullet.
Sticking to starting loads for a particular bullet weight, you are usually safe with about any bullet style. But when you start working up, bullet type becomes more important. Judging pressure signs without testing equipment is hit and miss, at best. That is why it is smart to stick to tested, known safe loads as found in reloading manuals.
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