The Burris treaded is definitely more rounded and agile than the rolling pin you replaced. However, it is closer to on-par with the stock Pint tire. It is possible it feels enough like the Pint that your brain is going into Pint stability mode and you don't realize you are comparing it to that tire instead of the Vega. The Burris might not seem new to you, even though it is a new tire on that board.
The Burris has a soft side wall, you might want to let the PSI down to 18 and see if you feel differently about how it works, just as an experiment. Agile means different things to different people. So, if you are looking for easy, grippy turns, then possibly that will work for you. Probably not, but it doesn't hurt to try.
I don't see the Burris as a particularly squirley tire, my opinion is that it strikes the perfect balance, and being so grippy, you can push it to the edge when you need to make that hard turn. It is surely not designed for an effortless 1-foot radius U turn; but, it is rounded enough that you can make that same turn if you are willing to drop the corner.