In the episode Duck Blind we see the statue used by DW to take him to his lair. Is this of The Great Mouse Detective?
Yes, as mentioned in Darkwing Fandom, the statuette that helps spin the chair is indeed of The Great Mouse Detective. It has been confirmed by Tad Stones, the program creator himself as follows:
Tad Stones has explained this reference as follows:"I shared an office with Ron Clements. Ron loved Sherlock Holmes and went on with John Musker and Burny Mattinsonto do The Great Mouse Detective. I wanted to put a nod towards my friends in features in there; why not Basil? We never talked about it, I just did it. It was more of Hey, here's a detective, and Ron's a friend of mine, why not?".