I've also had battery-powered preamps and amps, and can attest to how the lowered noise floor can be an unequivocally good thing. But I haven't tried it on the Simplex, which is why I believe that the OP was asking, as the motor seems to invite experimentation. I am curious too, as the cost is fairly insignificant, or at least significantly less than the DPS.
I've also had an outboard PS for previous tables (Rega), and can also attest to the benefit something like the DPS might bring. I haven't seen most people here in this Circle say that the DPS was unequivocally better than the supplied wall wart, even allowing for the different countries that opinions have come from. And since one of the most striking things about the Simplex noticeable to me on first play is its low noise floor, I can see why it might only be an incremental benefit. I also haven't seen much in the way of literature or descriptions of the DPS: is it also an SMPS, but highly filtered?
So, given a choice between getting a dedicated line and having battery power, the dedicated line is of course more convenient. However, being in a rental situation, there is no way I would invest in someone else's electrical system. Plus, the cost is not insignificant even if I owned my own place.
So, given all the options, like the OP I would also like to hear from folks (and this is likely a tall order) who may have compared a battery-powered WT table vs. a DPS-powered table, from the sound quality standpoint.