My old Karate Monkey was a 29er but had a stock wheelset rims listed as a 700c x 22.5. Exact same wheelset my Salsa Casseroll had on it and it was a road bike(700c x 41 tires).
Only thing I noticed was that the 29er WTB tire for the Monkey fit very loosely around the bead & rim. I always worried it would burp or blowout if I hit it just right. I usually like tires to fit the rims better than that. But it worked!
29er is a marketing term. While 700C used to refer to something specific, it has drifted. Both refer to a rim with a 622 mm bead seat diameter, but to my mind, 700C implies road and hybrid tires while 29er implies a mountain bike.
OP, you can call your hybrid anything you want to. It's a free country. But you'll confuse everybody else.
"Don't buy upgrades; ride up grades." -Eddy Merckx