Three of those items are fees and one is a split. The 2% acquisition fee is normally charged against the purchase price and paid at closing out of the money raised, so on a $30 million property that's $600,000 leaving the pot before the property is even operating. The 1.5% asset management fee is annual and is usually charged on invested equity or on gross revenue, and it's paid out of operating cash flow like any other expense. The 1% disposition fee comes off the sale price at exit. The 70/30 is the waterfall: once LPs have received their 8% preferred return, remaining cash goes 70 to the LPs and 30 to the sponsor, and that 30 is the promote, also called carried interest.
So your supply-house guy is right that the promote and the fees are separate items. The second person is roughly describing the ordering, and there's nothing sneaky about it. Operating expenses, debt service, and the asset management fee get paid before there's any cash left to pay a preferred return with. A pref is a place in line, not a guarantee that cash shows up.
The basis matters more than the percentage. Two percent of a $30 million purchase price and two percent of $11 million of raised equity are wildly different dollars once the deal is levered. Ask which base each fee is charged on and get it from the limited partnership agreement rather than the deck. The deck is a marketing document, the LPA is what binds you, and the two don't always say the same thing.