To your basic question, the answer is no - you don't have to give evidence about them if you're not including them.
However, I do wonder why you and your partner don't want to take advantage of doing just ONE application for residence, rather than yours now and your partner's later on, paying two lots of fees? If your partner is included on your SMC application, s/he would still get exactly the same Residence as would result from doing Residence From Work later. Residence is Residence - there aren't any advantages to getting it one way rather than the other.