Yes, that is what I meant. The total sales commission retained by an auction house is the seller's fee (if any) plus the buyer's premium. Both are calculated as a percentage of the hammer price. The buyer pays the hammer price plus the buyer's premium. The seller keeps the buyer's premium and the seller's fee (if any). The consignor receives the hammer price less the seller's fee (if any).
In some cases -- usually on high value high visibility items -- the house will not only charge a zero seller's fee, but also offer to share a portion of the buyer's premium with the consignor -- this is sometimes referred to as a "negative" seller's fee.
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