I have a tom senior e type and it seems to have had very little use, but it has 20 thou backlash on both axis would this have left the factory like this and is it acceptable ? …
It wouldn’t have left the factory like that – new machines are adjusted by the maker to minimise backlash. But they don’t stay perfectly adjusted for long because the usual anti-backlash mechanism isn’t perfect. Rather a compromise that does the job cheaply, with an easily replaced nut when it wears out. (Assuming a spare can be found for a machine long out of production! If you need to make one, ask – several alternatives. Replacing a lead-screw is more difficult.)
Paul’s picture shows a typical anti-backlash arrangement. A slot is cut part way through a brass or bronze nut, and a screw, not visible, is used to open or close the slot. Bending the nut at the slot causes its thread to grip the lead-screw more tightly.

Sadly, nut squeezing causes severe wear, even if the lead-screw is well oiled. Therefore, avoid obsessively minimising backlash as it can take years off the life of the nut and the lead-screw.
And there’s no need to fuss! The operator can and should compensate for backlash on a manual machine. The usual tactic is to leave backlash unadjusted until handle turning to compensate becomes excessive. For me somewhere between 120° and 200°.
Also, check Bazlye’s list of other causes before messing with the slot!
Dave