First of all, dialkyl lithium cuprates are also known as Gilman reagents, which you must be knowing(R2CuLi that is). In these types of organometallic reagents, the alkyl part acts as the anion, which you must also be knowing.
Gilman reagents are weakly polarised, i.e., the negative charge which appears on R is not strong enough(unlike in RLi where the negative charge is quite strongly polarised). Thus Gilman reagents cannot act on alkyl halides which are sterically hindered, as the carbanion so formed would not be strong enough to go through the nucleophilic substitution (SN2). Hence the halides must be primary.