I have shot matches with suppressors before. If you're shooting for fun and enjoy it, use the suppressor. If you want to be competitive or try to shoot your best times/scores, I'd shoot without it. Most matches don't consider the suppressor as a muzzle device now, so they aren't limited to the 1x3 specs any more, but as mentioned above, check with the match director first.
The suppressor will slow you down, both because of the weight but also the extra length when you have to navigate barricades or in/out of dump barrels.
Recoil will probably be greater with the suppressor than with an effective brake.
223 suppressors run extremely hot. You will melt any plastic it touches, and if you end up having to reshoot a stage, you may experience malfunctions. That's been my biggest issue with a suppressed SBR: the gun will run a 20-30 round stage with no issues, but if you have to turn around and reshoot it, you're putting 40-60 rounds through the gun in about 5 minutes and I started having issues.