I think it's imperative to find a way to make the accompaniment part be more 'passive' and not dominate the performance. If you're very aware of the accompaniment in a performance, you're doing something wrong. YOU, not the accompanient, should be the focus of the performance. Strong vocals and/or a strong right hand, along with a little creativity in 'juice-ing up' (augmenting) the arrangement helps a lot diminishing the 'arranger' effect.