Sure, both ZeXtras Migration Tool and ZeXtras Backup will allow you to move to another OS and architecture easily
A complete guide on the incremental migration (which is done using ZeXtras Backup on both servers and gives little to no downtime for the users) can be found at
ZxBackup: Incremental migration with ZeXtras Backup - ZeXtras Suite Wiki
The 5.0.10-to-6.0.16 is worrying indeed, but for what is worth I've done more than a couple of similar migrations and none end up in an unrecoverable mess
Feel free to ask any info you might need!
Have a nice day,
Cine
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