Hello Jay-R,
it is really hard to give a precise answer to this question. I get your logic, but just try to ignore your experience (even it helps) in manual trading.
With the algorithmic trading, and especially with the strategies we use, you will notice that the market is different trough the eyes of EAs.
Yeah, I would trade those simultaneously. I do not see a reason why not to trade them with EAs…
Kind regards,