Bike Fit Q

Does it make sense to have a bike fit performed at a shop that carries your brand of bike?  I purchased my first road bike knowing nothing about bikes and didn't have a fitting.  After riding my new tri bike (and greatly appreciating the excellent fit), I know I need to get the roadie fit.  However, the tri shop that fit my tri bike doesn't sell my roadie brand.  Should I use that shop anyway or find a shop that sells my road bike brand? Admittedly, I'm a totally newbie and the tri shop is upscale, so I might be a little intimidated to take my lowly roadie there.  They were nice when I got the  tri bike fitted, but I still felt a little intimidated.  Opinions?