Hardwire speaker driver connectors?

Assuming you don't mind doing the work(and this post means you don't), any REASONABLE person would not damage the tweeters. This is the way I install drivers. Solder will be better than what you have now. Better still would be butt splicing the two together. It is the manner I use. The "real" crimper I use(discussed in a recent thread) forms a cold weld. Superior to solder. And not possible to ever damage a tweeter. If you were really [lazy/poor/untalented/didn't have materials/etc.], you could either use a wire nut or electical tape. Simply cut off the connectors(which you would do for solder or butt splice anyway), strip them, twist them together, and install either the wire nut or electrical tape.

I guarantee that if you go to the trouble of soldering the connections you will somehow hear an improvement. If you were to do a blind AB comparison, I doubt you would hear a difference and the hassle factor involved if you pop another tweeter should weigh into your decision. Also, if you are not careful and good with a soldering iron, you will be sure to damage the drivers, especially the tweeter.