When will you know about the school's admissions decision?
Those are very good and solid scores. 19 is the absolute highest score you can get on any subtest.
A couple of random comments. One thing on his favor is that if he had been tested 11 days later, he would have been normed as a 6 year old, but since he was not quite 6, then he was compared to kids 5 years and 9 monhts (I believe). The exact same test responses taken on both sides of the divide, would result in different scores.
Davidson's accepts GAI (General Ability Index) in addition to FSIQ or verbal/performance. While technically there is no GAI in the WPSSI, gifted schools in our area are interested in that. Pyschologists can calculate that from verbal plus performance. My dd's WPPSI report includes that calculation. It is my wild guess that since he is so strong both verbally and non-verbally (143 and 148), that maybe that index for him (my other dd's report called it Full scale w/o coding) could potentially be 150.
If I were you, I would ask if you can talk to the tester (maybe after admission decisions are sent), and ask them to calculate that for you. There is a way to access that info for the WISC (on a techical report found online), but I have no idea whether it would be the same for the WPPSI.
I would definitely consider doing achievement testing. As PP have said, if his achievement scores are very strong, they might take him as a DYS. It is worth a try.
A couple of more things. The gifted school probably doesn't have that many kids scoring in that range; and they might be excited about having a kid like your DS. OTOH, maybe they realize that his needs are very different fom those of the other students. If he is accepted, I would talk to the principal about how they acommodate the kids that are very gifted. If they were reaching out to you, then maybe that is the case (hope I am not contributing to false hope).
IF they don;t accept him, have you looked into your public school's gifted program? Do they have one, which grade does it start? With those scores he shouldn't have any problem qualifying.
Good luck!