Michael, as the rifle left H&H it would almost certainly not have borne the typical sidewall T, with serifs etc. However, it could genuinely have acquired a T stamp subsequently added at a FTR, for example. Out of curiosity, do you know if it is a Mk1 or Mk1* rifle?
Everyone has a different view, usually influenced by whether they are buying or selling, & I have not sold a Savage T for a few years, but ounce for ounce a Savage is probably worth a little more than a BSA, though I would not have said hugely so. I know there was (may still be) a UKdealer offering a Savage 4T for about 10k on his website. It did/does have transit chest & bits & pieces, but I would have thought he would be lucky to achieve that kind of price. If it is any yardstick I have sold two BSA 4T's in the last twelve months; both were tidy rifles that had been sympathetically cleaned up a little (they were in the batch acquired in the '90's), & both went with scope & bracket but no other accessories. Both were mis-matched but collimated & they sold for 3,600 & 4,250 respectively. The dearer rifle was slightly nicer in condition & had a 2/1 scope on it, the less expensive rifle bearing a Mk1.
I hope this may help a little.......other people's prices can differ hugely; some a little less, & some a lot dearer.....