An R bin 1W puts out between 39.8 and 51.7 lumens at 350 mA. Based on some people's experiments here a 1W driven to 700 mA and well heat-sinked will put out about 65% more light than it puts out at 350 mA, or in this case between roughly 65 and 85 lumens. An S bin 3W puts out between 60 and 67.2 lumens at 700 mA while the T bin puts out between 67.2 and 87.4 lumens. Short answer is it will probably put out more than an S bin but probably not more than a T bin, although that possibility exists also. The 1Ws that make it to the R bin probably just barely do so as they need an efficiency of at least about 35 lm/W. A 1W that falls towards the high end of the R bin would need to reach 45 or so lm/W, and I haven't heard of any currently produced Luxeons being this efficient. Therefore, it's likely that at best an R bin 1W falls in the middle of the bin (~45 lm), which means it puts out about 75 lm at 700 mA. An average T bin 3W probably falls around there, so the only way an R bin 1W beats a T bin 3W at 700 mA is when you have an exceptional R bin and a mediocre T bin. I would say in most cases any T bin 3W beats an R bin 1W.
While on the subject of bins, has anyone here seen an S bin 1W or a U bin 3W?