I have taken the following from The Baptist Union UK website.
It isn’t consistent with your statement.
In this Baptist family everybody is equal, for everybody has a part to play in the service of God. There is no hierarchy of bishops or priests exercising authority over their members. Equality of status, however, does not mean that all have the same role.
Each local Baptist church appoints its own leaders - or ministers - to have particular responsibility for preaching, teaching and pastoral care. Working alongside these ministers are also deacons, who together with the minister(s) form the leadership team of the local Baptist church.
Baptists are grass-roots people, with a particular emphasis on the local church. These local churches are self-governing and self-supporting, ranging in size from twenty or so members to many hundreds. Although each Baptist church is an independent entity, Baptists nonetheless have always believed in associating with one another - and so the churches come together in regional, national and international spheres to promote and support the fellowship of Baptists everywhere.
The Baptist Union of Great Britain : Who are Baptists?
Perhaps, the information they present is false?
Do you have a better source to offer as a resolve?