So if you have the speakers on axis to your ears those problems would exist no matter which way the tweeters are positioned?
Well, if the tweeters are towards the inside, the port and woofer has less effect on them, but "edge diffraction" is still an issue.
Try this with your current monitors:
Position the tweeter on the outside and listen very carefully to a female voice in the center; notice how the image wanders slightly, depending on the note she's singing. Now, exchange the cabinets, so that the tweeters are on the inside, and listen again.
It's very subtle, but you should hear the image stabilize slightly and become a bit clearer.
So, what did I do when I designed the HG3's?
I put the biggest air moving stuff (the port and the woofer) at the outside of the box, and moved the mid and high elements into a separate tube to eliminate "Edge Diffractions" and "Intermodulation Distortion" (caused by the mid and highs signal passing through the woofer/port air stream, or bouncing off the face of the cabinet). Couple that with a separate amplifier for just the mids and highs, and you get an absolutely stable and clear imaging.
If you turn the mid and tweeter tube to the front, the imaging actually decreases in clarity, since you're re-introducing "Edge Diffractions".
There's a lot more stuff going on in the HG3's design, but that explains why you should at least try listening to your current monitors with the tweeters on the inside.