But when it appears in a sentence by itself , what does it mean?
A: Almost Everything is on track at our new home , but
they forgot to install the phone.
wife: Be that as it may.
It sounds strange to this AE speaker also. Usually, that would be followed by something. Be that as it may, you still have to call home every day. I would define "be that as it may" as "athough that is true".