...i also feel that using a female name is far more imaginative, inventive, mysterious and above all, personally endearing, than using a clever backronym based on 'SLR' or some permutation thereof. Many of the other suggestions work well, but unfortunately are also too male orientated, too 'functional'.
'Mirai' absolutely nails it, it's ambiguous enough to be original as a product name, whilst being decidedly feminine in its aspect, along with the interesting 'true' meaning.
Along a similar line, i could also suggest 'Saya', which means 'sheath' or 'scabbard' in Japanese, though it's not in use as a girl's name, for obvious reasons!
At the moment the main competition is 'The Handy', which is a brilliant name, as it suggests easy of use, as well as the bit of anatomy one is replacing. So i'd suggest not using a naming convention that follows theirs, as i guarantee that's what everyone else will do, so avoid functional names, or even anatomical references, just cos.
The disadvantage within the name 'Handy' is that it implies, unknowingly, that the machine is fundamentally a replacement for one's hand, and as such is limited to replicating masturbation. Giving a machine a female name implies that it is a replacement for an actual sexual partner, and is thus going to replicate sex, not masturbation...