VRRP is sent on all links and all VLANs. So yes, in that example of losing LAN 1 & 2 LAN 3 would still carry VRRP packets between the MXs and keep MX1 as primary and MX2 as spare.
Traffic flow of clients downstream would be from the switch up to MX2 then over to MX1 as that would still be the primary unit in the HA pair.
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