Hi Marc, my first reply was a bit tongue in cheek, as I have never had a problem with the angle of the handles and never really thought of this as an issue with the Triton or any other router.
Some routers have to be mounted this way to allow the handles to pass up through the insert hole.
In the case of the Triton, it has to do more with where the mounting holes are situated in the base. The Triton has two bolts that are used to mount to the standard Triton grey pressed metal plate used in the Triton Router Table. When these are used in their plate, the router sits square.
There was an earlier post on this subject, but I cannot find it just now.
PS the mounting holes for the Triton, PC 7518 and the Milwaukee 5625-20 are in the same position. So any plates or drilling templates for these routers are interchangeable.
So the question was based on the facts that:
A) It just looks weird, and
B) Position of the following items:
Dust collection port
Variable speed control
Location of height adjustment handle
Any other potential issues
I bought a nice, homemade router table with a phenolic insert with several pre-drilled holes in it, and a few more (larger) added to it. Trying to decide if I should drill some more and use it, or bite the bullet and buy a new plate. As I paid $80 for the table (and drove almost 3 hrs. round-trip to get it) on a nice solid stand (worth about what I paid for the table), and a plate will run $60 - $100 (phenolic or alum.), not sure which is better... trying to decide what to do. Kreg phenolic for $60 with free shipping looks attractive, but can't tell if hole for handle is where I want it... I think it puts it on the left side, and I am a righty! Could turn it around maybe... dunno!
Jut bought the Triton TRA-001 for about $230 plus tax, and know what other have into their tables, so I want to keep costs down but do it right! Only issues with table are no front T-track (fairly simple and FAIRLY cheap fix) and his dust port is also home-made and needs to be clamped manually or I need to change it too (though with Triton dust port, may be less of an issue)... dunno!
You all are supposed to be the experts! (Almost said "guys"). Any females in here???