Well, perhaps the wording could have been used better here. Routing table (as in used by a router.....no, of course not in 802.1). But, a routing table for MAC addresses? (absolutely). A switch to switch environment also makes very simple MAC address related "routing" decisions. It wasn't intended to be a trick question but I can see where someone may have gotten confused. But if you were to fully read the 802.1D standard...it's quite clear. When using the STP (Spanning Tree Protocol) as you mentioned, these switches almost turn into smart switches that can handle a Layer3 decision but still communicate of layer2. The "routing table" used in the STP does include about 6-7 fields that uniquely ID the next bridge in the segment.
Sorry about the confusion.