The biggest difference in length between axle centres will come when the loco 'leans back' under acceleration or form,wards under braking.
This angle, for a given axle spacing, will be greater for an 0-4-0 than an 0-6-0, for example.
The spacing will reduce in proportion to the cosine of the tilt.
Say the maximum tilt is 5 degrees then cos(5) is 0.996, so for every 1" of connecting rod the distance will reduce by 4 thou.
If the maximum tilt is 2.5 degrees the reduction is closer to 1 thou per inch.
Clearly if you have a 4-6-2 than the impact of any fore-aft tilt is going to be negligible. It's also going to be affected by how stiff your springing is.
Ironically a short wheelbase leads to more tilt and I found with Southam (4" between axles) that if nodded forwards or back it bound a lot and I needed to free the axleboxes up a fair bit, although it wasn't the 16 thou the first calculation would suggest it was more than 4 thou! I also had to allow for the jackshaft being fixed so any up and down movement of the front axlebox affects the distance between it and the front axle as well.
So my instinct is that the proportional changes will get smaller as the loco gets a longer wheelbase or the C of G gets higher but little else will affect it.
I understand Julian's comments to mean that in a no-steam loco with connecting rods this is less critical as motion won't affect valve events whereas excessive movement could be bad news for a steam loco.
Neil