no it won't affect the fitting. non-trembucking models are a little narrow so the strings won't run parallel to the magnet's pole pieces.
however, purists advocate that the trembucker spacing gives you more 'true' sound. imagine a shower head directly above an empty bucket- that's the trembucking analogy. having the shower head NOT directly above the bucket still has water going into it, but not every drop is captured- that's the non-trembucking analogy...