Hey Kari,
No, if it was a reflowable book you should keep it as reflowable, fixed layout is quite different. You can certainly test your books on devices and in apps and try to make files that work well in as many as you can, but you cant cover every app out there. There’s a point where you have to tell the client, “I have optimized this for the Kindle devices/platform, not Overdrive, I can’t promise you that it will act correctly in that environment.” you can also encourage them to download the Kindle app, Kindle Previewer, ADE, and iBooks (if they have a Mac) and use that if they do not have a physical ereader devices. But you will probably still run into some display issues, but tell them up front where you are testing and optimizing the files for. For stores that accept ePub (basically anyone outside Amazon), you can certainly create multiple files that are optimized for different stores and devices (eg. 1 file for iBooks, 1 file for Nook, 1 file for Sony, etc) but unless you have the devices to test on and then take the issues you see and implement them in the files, it’s probably better to focus on the platforms and ereaders you know and can test on.
Anyway, I hope that was helpful,
Aaron