I've had my hatch with a Integra sway on for almost 3 years with no subframe brace. The 4-Door 92-95 EX came with one stock (I believe its 13mm). I measured mine (with a wrench lol) and its around 14mm. ITR is over 20mm. But I haven't auto crossed it. Just spirited driving.
I've seen pics of EG's with subframe rip outs and its nothing nice. They were 23mm or bigger sway bars. I have not run across any problems nor have a heard of rip outs with the smaller OEM sways. Although I cannot contest to a hard day racing at a track. If I did.....ASR for sure. I wouldn't want to risk it.