it is not, as .local is designated as a special-use domain name and .lan is not.
It may not be an official standard, but it does have some weight as a de-facto standard.
I've tried briefly to try and find some numbers to back that up, but can't find much beyond apple's bonjour vs consumer routers - although I've seen companies with AD domains using .lan as well. (Although, I've also seen companies using 1.0.0.0/8 for their internal addressing...)
if you choose to use an unreserved domain, you are choosing to accept the risk of something like this happening. take ownership of your choices. "but other people use it" is not a great defense.
As an example, at one point in the past (I think in the 90's?), Microsoft recommended using .local for AD domains, whereas now they explicitly recommend against it.