I feel it would depend if one is stopping at the first success or not.

If one is targeting a number of successes before stopping for the day , I would bet both ,because they are being bet as separate entities to one another.

One thing I would not do is double up on a horse where 2 or more systems have the same selection say to win.
e.g. If selected twice does not mean it has twice as much chance of winning , so just treat it as a single bet.

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Cheers.