For raised X axis I mean something like these where the gantry is mounted directly on top of the X rails, which are themselves raised well above the level of the bed. The raised X axis can then be reinforced and made as stiff as you want. Often they are steel box section, which is x3 stiff as aluminium (like-for-like sizes). This avoids having the long drop down gantry side plates which will not be as stiff.

It is very difficult to overcome offsets by beefing up/reinforcing the connecting structure. Much better not to have the offset in the first place.

Click image for larger version. 

Name:	router.jpg 
Views:	3651 
Size:	162.6 KB 
ID:	20802

or

Click image for larger version. 

Name:	router2.jpg 
Views:	28229 
Size:	74.7 KB 
ID:	20803

The example you choose still had gantry sides and the X axis rails were level with the bed so no real advantage and not what I would call raised X axis design.

Z axis swapped around looks good. I'm adding a pair of tram plates to my new machine so good to see it used on yours.