Sorry, but no.
Even Whimsicott and Lilligant were talked about and fawned over more than Genesect could ever hoped to have been. And let's not forget the whole thing with Snivy, or Smugleaf if we wanna be exact with the point in time. Samurott as well. Even Trubbish and Garbodor outrank it in popularity and how often it's brought up or discussed. Trash bags. Genesect never really had anything at all. Slight interest maybe since it was basically trying to be Gen 5's Mewtwo, but it kinda failed and majority of people lost interest. Probably why it wasn't important at all in BW2. You sound like a fan that's a bit too dedicated and trying too hard to make something you a couple other people like seem relevant and like it's the greatest thing ever.
And the cannon? Really? Blastoise already has 2 cannons on it's back to begin with. If anything, Genesect just tried to be cool like him and have a "totally original do not steal" back cannon instead, only for Blastoise to go Mega and grow another one, thus making it three times as inferior.
Sad for him.
The Blastoise part was pretty much a joke, me and my friends usually call it Genestoise, which we should probably stop doing since Mega Blastoise doesn't even use its cannons.
I'm not sure where the hay you get Whimsicott and Lilligant from, because no one talks about them, like no one. Of course the starters are more popular, the starters are more popular than any other Pokémons every generation, usually up against the mascots. Except Emboar, nobody likes Emboar. Garbodor gained its fame from being ugly, so yeah.
Genesect has had a fair deal of fans, and if we want to talk about discussions about it, then we do have the Kabutops -> Genesect theory, which as stupid as it is has had a fair amount of discussions. It being Team Plasma's ultimate weapon also peaked a lot of interest when it was first discovered in how it'd be distributed, and its role in the future. Being Mewtwo's counterpart alone has given it a good deal of discussions too, and apparently people are talking about how it could have been built to possibly counter Mewtwo in one of the wars that are talked about in X & Y, though I don't care for that stuff myself and certainly don't believe it myself. Oh, and Genesect also has a lot of popularity in the TCG currently, it's not much, but it's more than Lilligant and Whimsicott.
Either way, I'm not trying to make it out that Genesect is a super important Pokémon, it's going to be sulking alongside Deoxys and Darkrai like I said, if even that, but at least give it credit where it's due.
Speaking of Pokemon, and this comes hesitantly because it seems like the lines of Pokemon cut deep through this thread, but does anyone beside me actually play the TCG?
Yeah, I do. Fun thing is that while we're talking about Genesect, my main deck is a Genesect-EX deck.