I believe that you can use any standard 130mm BCD chainring, including those made by third parties. I assume your crankset has a 130mm BCD because you referenced a 52t big ring, and cranks in those days had 130mm BCD for 53/39 or 52/39 gearing, or 110mm for compact 50/34 gearing.
Starting in 2009, the Dura Ace and Ultegra groups kept a 5-arm arrangement, but they shifted to hollow outer rings that were a fair bit stiffer than predecessors. This improved front shifting, but it was expensive, and they chose not to use those rings on the 105 5700 group. I think the Ultegra and DA cranks of that era would also take standard 130mm chainrings, they would just be visually mismatched. This is consistent with Ollie's post. Anyway, starting the next generation (9000, 6800, and 5800), Shimano went to a 4-arm, asymmetric 110mm BCD. SRAM also elected to go a different direction with the groups after that era of Shimano, and Campagnolo had always been slightly different (e.g. 135mm BCD, 110mm BCD but one hole was set at 112mm just because).
In any case, you certainly cannot use an 11s Shimano chainring on your crank. Shimano doesn't have any of those in 130mm BCD, and the arrangement of the crankarms is different. I haven't checked, but there could be third party 130mm BCD 11s chainrings, but that is an older BCD and these chainrings might be scarce.
There are a lot of aftermarket chainrings for the standard BCDs. They likely won't shift as well as Shimano, because they don't have access to Shimano's patents for its pins and ramps. The difference might be small, however. I don't have a comprehensive list of aftermarket manufacturers. I know that Origin8, Dimension, and possibly Surly are low-end manufacturers. Sugino and possibly FSA might be considered mid-range. Specialities TA are probably high-end, but they are a small French company that can be hard to get in the US, if you are here, and their chainrings may be nearly as expensive as stock Shimano chainrings. The latter is definitely true of their aftermarket replacements for Shimano 11s chainrings, and they also aren't hollow and thus should be not as stiff.