I have a work colleague whose DC is in Y4 there (so not enormously helpful!) but she's happy with it.
Locally it was seen - and I can only tell you what I've heard, I have no direct experience other than a cross-country run my (state) primary DC did 3 or 4 years ago in their grounds which are large, and very pleasant!- but it certainly was considered a school for newly wealthy DC who'd've picked any private over state- which is by no means to be sneered at, but this way maybe prior to Romsey schools, esp Mountbatten, improving enormously. 3 DC left my DS's primary locally to go because in one instance, the mother was furious that she had to fight to get clearance for 3 week Easters and 2 week Whitsuns to take her many DC to the Caribbean every year ; the other was a single mum whose hours at work meant she needed a wrap-around school day. But she insisted on calling it Hampshire Colleejigat... every time she reminded one that her DC was private, you know!' Sorry!
Anyway, DC come from miles around to go there, they have a coach network stretching out like a spider's web (so your DC might be going to parties 35 miles away!). Friends in Winchester certainly do snigger at neighbours whose DC catch at 7.20(?) coach to HC from outside the gates of schools like Kings and Westgate to 'go private' as it's considered that if you're a) rich and/or b) your DC is either exceptionally, scholarship-worthily clever, they'll go to KES in Southampton rather than run-of-the-mill HC. Winchester has no privates in the KES league, just world-renowns like Winchester College and St Swithuns. ££, or course.
However, my friends' sniggers come from people who have exceptional state comps on their doorsteps.
The results at HC have certainly improved over the years, maybe because they saw that they were 'losing' a lot of DC at 11 to go to the state grammars in Salisbury (there's still an 11+ prep element, there, of course).
Have you been on a tour? What did you think? Have you been private-to-date?