Yeah, i have a buckled wheel as well..
Get shakes at above 110km/hr.. Below that its not really notieable.. thankfully i just have to track down a spare stocker. Wasn't until I took it to a wheel place to get tyres fitted and they said "mate, your LHS front rim is seriously buckled - we can't balance it"
The tyres shouldn't effect it I wouldn't think on a spinner.. you should be able to see if its the actual rim or the tyre that is wobbling.
If its buckled, and not a crack or something, I'd just be trying to find one of that wheel.. Otherwise, sorry to say, maybe cut the losses, sell 2x as a pair, and buy a new set.
That is not correct.. MY rim appears visually fine, yet is clearly buckled when on the spinner.. And I've had two sets of tyres on it, so its not the tyres either.