Hi George,
Indeed the GTN will work with the 209A, there is a page in the install manual specifically for it (page E-22). That said, it's basically VOR/LOC/ILS only for the most part (without a relay for and won't be as good as having something like the GI-106A). Anyway, the answer is that it'll work as well as what you have and provide you a lot more functionality in the airplane from an IFR standpoint.
Cheers,
Stein
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