FBinNY,
Yes, you are spot on about the narrow rims. My existing rims are such. I am amazed that a Schrader makes makes the drill. (Pun)
The rims I am getting are Swiss TK540 36h 700c and appear to have a flatter profile at the nipple exit area, so I should be OK. If not, I'll bite the bullet become 'Presta-nized'. Sooner that later that may become inevitable. Seems like the 'marketing-suits' nudge us in the directions that they think we should be going in all venues.
Always enjoy your input.