Do NOT do that! (Add DE to a cartridge filter.)
Unicel is the leading US cartridge filter maker, and makes a number of the OEM cartridges used by the major US pool equipment companies. Their national sales manager is a member here (though not too active) and I've talked to him several times. He told me that the DE particles both embed in the cartridge fibers and can't be removed, and actually cut or otherwise damage the fibers.
DE in DE filters? OK, obviously. DE in sand filters? Helpful for special purposes, such as trapping particles otherwise too fine to catch.
DE in cartridge filters? Turns out, that's a really bad idea.
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Regarding pumps: what you describe with respect to your Whisperflo is pretty much what would be expected. But the Whisperflo is a high flow / high power pump, and is too MUCH flow for a 12.5k gallon pool. One issue is backwashing sand filters: too much flow will wash sand out on each backwash.
One of the benefits of the VS pumps is that they can be 'turned down' to match pool size, but still remain efficient. To match a 2 speed Whisperflo -- efficiently -- to a 12.5k gallon pool you'd need to buy the 1HP 2 speed, and then take it apart and replace the 1 HP impeller with the 3/4 HP impeller. (They don't make a 2 speed 3/4 HP pump, so you'd have to do it yourself.)
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