You can absolutely trim some fat without losing strength and progress. In point of fact, some of my best progress has occurred while losing fat, mainly because it requires my diet to be more dialed in than when I am running a surplus. Every calorie matters, so suddenly I am eating very high quality and with focus.
The trick for me has always been to approach weight loss gradually. So many people fixate on wanting to watch numbers fly on the scale, going for 2+lbs a week, and in doing so they lose too quickly and hinder their recovery. I shoot for .5lbs a week at a max. It's a slow process, but it means that my recovery is holding up and that I can sustain the weight I get down to once there, versus having some sort of rebound.
Strongman is rapidly becoming a sport wherein extra fat is just slowing you down. Even the big guys in WSM tend to be coming in leaner these days (minus of course Big Z, but he DOES get lean in the off season). The HW Arnold amateur just got won by a 230 guy.
I think you'll get nothing but benefits from shedding some fluff.