The quick answer is YES. My old L185DT was about the same weight, with a bit less loader capacity, but nowhere near the horsepower, and I was dazzled by what it could do!!
On the other hand, traction is a function of tire size and tractor weight. An L3200 is about 800 lbs heavier, with considerably larger tires. And you get more loader capacity. You get about 25% more tractor, for 10% more $$.
As you can see from my avatar, I spent a lot of time and money trying to make my 185 a bigger tractor. I used it for about 35 years; it did the job. But I would have been way ahead if I'd spent the 10% more $$ for the next size larger machine.
Which ever you get, fill the tires for ballast, and have something on the 3ph that weighs 600+ lbs while you do any loader work.