Default Stock HTC Mail app not updating

I was using the stock HTC mail app for my mail since it is the only one that will interface with the lock screen, and it seems like it only keeps my main account synced, and will only sync other accounts when I open the app and switch to that account. Is there a way that I can fix this or is that just the way the stock app functions?

Screen shot of secondary account settings below

Sent from my HTC6525LVW using Tapatalk
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