Can I ask for a clarification? Are you referring to what is call Fidelity Wealth Advisor Solutions? My PC guy had talked about that a while ago... so did my Schwab lady (that is their version of this. I've never followed through with either.
I looked up
"Fidelity Wealth Advisor Solutions" on Fido's site... still the same. It is really an introduction and some monitoring to a non-fidelity advisor, but one that will keep the assets at Fidelity with I would assume some will have some benefit to fidelity.
Like going out and finding an advisor on your own, how good or bad these are is highly dependent on how well the advisor meets you individual needs. Going through this service will most likely keep your $ @ Fidelity and mostly have trades going through Fidelity channels (my assumption). Fidelity may get something back but I don't know the details at this this time. It may be a fee for the advisor to be in the program, a finder fee, a small cut of the fee... or if nothing else getting the processing charges... I don't know for sure.
If this is truely "Fidelity's Private Wealth Mgmt Team", I'm not familiar with it and did not find that on Fidelity's site (but I did not search real closely).
If it is what I described, look carefully for advisors both in and out of the program. It is important that you can find an advisor that you can trust (and deserves you trust), will fulfill your needs and you can tolerate. While reps and advisors work to be your friends, remember they are in business. They are there to make money. Many of them really try to provide a good service and can be worth the charge is you need or want someone taking over.
If this program is the one I referenced, I see no reason not to look at the fidelity linked advisors, but judge them as you would your external ones. It is your decision and your future. Pick who you believe in. The big issue here is to be careful as there are many good sales people out there... both in and out of fidelity's program.
Good luck. I have no really good opinion on going in or outside for finding an adviser. I still deal mostly with my own investing and hire legal work independently of the brokerages... no real other advisers.
The most important thing is to pick what/who is best for you.... which is really hard to do at times.