Well we've covered a lot of content where the wavenumbers of the peaks can be diagnostic. Of course, not as diagnostic as the number, but still something you'd talk about if asked to compare the two spectra. You would get different wavenumbers for the ones trans to a CO and the ones trans to a PPh3.
Trans effect can be used to describe both of them. You can talk about the kinetic and thermodynamic parts. It is also common to use trans influence but trans effect is not wrong.
That is what I meant to say, just wrong the wrong thing, damnit. It's a friday afternoon and I've spend the day inhaling chloroform in the lab

Of course, one orbital donating into two forms a weaker bond than donating into one - a case of typing the wrong thing

I know that the two parts are effected by different things - though this is usually studied when looking at ligand substitution and the effects on either the ground state and how it is destabilised, or the stabilisation of the transition state.
I appreciate the comments and thanks for pointing out my mistake,
but I do (I like to think), know what I'm talking about :P