and an external igmp-querier is detected on bridge-wan interface
If by "WAN" you mean the Internet, then that isn't going to happen. For all common intents and purposes, the Internet doesn't transport multicast.
(It could have, once up on a time, but decades of strange decisions scuttled that.)
This means you won't find random Internet hosts running IGMP queriers, interfering with your LAN.
Now, if by "WAN" you instead mean a private inter-site network, then whether there are IGMP queriers out there is up to you and that WAN's managers. Moreover, whether those IGMP queries transit router boundaries is also up to you.
Generally, you want one IGMP querier per LAN; no more, no less.
But, what about the cases, where you actually need more than one bridge interfaces?
That's almost always a mistake. Search this forum for the many, many related posts on this topic.
And what about vlan's?
That is probably the single most common case where you do
not want multiple bridges. All the VLANs appear on one bridge, which sorts out which traffic goes where via
bridge VLAN filtering.
Let's say you put all ports into one bridge, then create vlan's over that bridge and use vlan-fitlering, how would it be then possible to assign local igmp-querier insted of the one that would be detected from the wan side?
Routers block multicast by default, so there is no interference from this vague "WAN" you speak of unless you've gone out of your way to push the multicast traffic through from the WAN, most commonly by setting up PIM-SM, which obviates IGMP snooping across that boundary.
If there is no multicast on the WAN, then setting the IGMP querier on the single VLAN-filtered bridge
should operate independently on each VLAN for essentially the same reason: VLANs block multicast and broadcast by default.
it's so badly documented
No, the docs on this are reasonable. They merely assume you know what you're doing, and I'm sorry to say, you don't.
The RouterOS manual is not the appropriate place to seek an education on multicast routing. I'd consider a week-long course an introduction, and a month-long course a good start.