I have a Fidelity and Vanguard account, and will combine them shortly. Given that they both have zero custodial fees it does not hurt me to have them both open.
However, it does cost me time to manage both. I have to log into two accounts to get balances. It makes asset allocation a bit more difficult, but not impossible.
So unwise, probably not, but it is a bit inconvenient. You also need to know how to use two different websites and the tools from one will not necessarily take the balances from the other into its calculations.
If you are looking at Wealthfront or Betterment for their advisement, you may be wise to minimize their management fees for the plan you desire and replicate their advice in Vanguard or Fidelity.