I remember having the same question and also being disappointed you couldn't easily transport them, so I ended up using SM mode to simulate transporting them.
However, the RP reason I read and always appreciated is thinking Financial Centers more along the lines of Financial organizations and infrastructure developed on your planet. Distributed trading floors, companies, offices, credit tracking, internal trade arrangements, etc. Things you can spend government funding to specifically develop, but not something easily boxed up and put in a cargo container.
I never got around to coding the financial centre movement. C# Aurora is setup to deal with installations I haven't thought of yet so you will be able to move everything unless I specifically flag something as immobile.
Some of the information Aurora presents you only see if being pointed to. You are not the only one to whom that has happened . Took me a while to detect the stockpile window... .
I've been building up a colony for the last couple of days playing, with the intention of moving a bunch of financial centers there to free up workers on my homeworld. I've finally got things to the point where I am ready to move the financial centers and discover that there appears to be no way to load them into freighters! ARGH! Is this a deliberate design decision. Have I just perhaps failed to notice some other mechanic to do the job? Do I have to spend the next twenty game years building them in place?
Oh. . . And is there any way to see 'accumulated' wealth? The F2 Wealth/Trade tab shows Annual Racial Wealth and Racial Per Capita Income, but after weeks of playing, I have yet to figure out where total wealth is displayed. Or is it that wealth does not accumulate and that surplus wealth is wasted?