I have thought of something
Mythologically the Phoenix is a solar deity, dedicated to the Sun of the Day
and the Swastika is an ancient symbol of the "renewed" sun.
Totally irrelevent to these buildings but might come in handy if you play jeopardy.
I think it is important to remember that the swastika has been a symbol, meaning different things to different folks for thousands of years.
It isn't always sinister and doesn't always have connections to Nazi's..Obviously! It is older and has outlived them.
It is quite a happy, little symbol really..