When I flare the end of the stinger I see it as being simular to the "bell mouth"on a carburator and a tapered intake boot.
That may not be the best comparision but any turbulance right at the narrowest point where velocity is highest will be worse than any point farther away.
The end of my flare on its back side, has its edge dressed so when touching the metal of the pipe's rear cone it does not have much of a edge to disturb flow. There is a angle change at that point but that is what I refered to as my "bell mouth"
I have also slid the pipe into the end of a flared stinger like you are planning and it works very well, I actually like to that when I still have the rear cone still not welded on the belly that way I insure that the transition is smooth. and if not I can take a gringer and dress it up.
Lots of ways to skin a cat every way has its good and bad points.
One thing to remember you are going from being on the high end of the scale with the 1-1/8 stinger to now on the lowend of the scale with the 1-1/4. If you were trying to make it on a bigger Puma or saber then your transition would become more important. Not that you can bugger it up but a little disruption of flow at the end of the pipe is not going to be a big deal.
I see what you mean, either way there is going to be some turbulence, oh well it's got to be a step in the right direction.
If you don't me asking, where did you get the materials, for this mod?
I plan to do a full write-up on here with sources, in-process pictures and feedback on sound, temp, and power delivery when I do the mod. It looks like it will be a couple weeks before I will have the perforated tube so I will get some ride time on it with the standard stinger for comparison.
I ordered the 1-1/4 od mandrel bend, the 1-1/4 straight pipe and 1-3/8 straight pipe (for slip connection) from mandrel-bends.com. The perforated tube (the hard part to find) is coming from LAChoppers.