There's no such thing as a bullion proof ASE.
What? Did you look at the OPs photos?
The US Mint package clearly states "American Eagle One Ounce Proof Silver Bullion Coin". So, obviously there is such a thing as a bullion proof ASE coin.
As I said earlier, in 2007 the US Mint removed the word bullion from the packaging and reordered the rest of the words to be "American Eagle One Ounce Silver Proof Coin". Again, the OPs photos clearly show this.
It's the change in wording that was confusing the OP, but again, there is no difference in these proof coins except for the year and mint mark (depending on the year).
I've never quite understood why some collectors get hung up on whether or not the various ASE finishes with mint marks are bullion or not. Is there some sort of stigma attached to collecting a bullion coin?
Every ASE the US Mint produces is authorized by the same law, 31 USC 5112 (e)(f)(g)(h), which states
(e) Notwithstanding any other provision of law, the Secretary shall mint and issue, in qualities and quantities that the Secretary determines are sufficient to meet public demand, coins which-
(1) are 40.6 millimeters in diameter and weigh 31.103 grams;
(2) contain .999 fine silver;
(3) have a design-
(A) symbolic of Liberty on the obverse side; and
(B) of an eagle on the reverse side;
(4) have inscriptions of the year of minting or issuance, and the words "Liberty", "In God We Trust", "United States of America", "1 Oz. Fine Silver", "E Pluribus Unum", and "One Dollar"; and
(5) have reeded edges.
(f) Silver Coins.-
(1) Sale price.-The Secretary shall sell the coins minted under subsection (e) to the public at a price equal to the market value of the bullion at the time of sale, plus the cost of minting, marketing, and distributing such coins (including labor, materials, dies, use of machinery, and promotional and overhead expenses).
(2) Bulk sales.-The Secretary shall make bulk sales of the coins minted under subsection (e) at a reasonable discount.
(3) Numismatic items.-For purposes of section 5132(a)(1) of this title, all coins minted under subsection (e) shall be considered to be numismatic items.
(g) For purposes of section 5132(a)(1) of this title, all coins minted under subsection (e) of this section shall be considered to be numismatic items.
(h) The coins issued under this title shall be legal tender as provided in section 5103 of this title.
So, if you want to call all ASE coins bullion coins then IMHO that's ok since the law says their price is determined first by the market value of silver bullion. If you want to call all ASE coins numismatic coins, then again IMHO that's ok too since the law says all ASE coins are considered to be numismatic items (the law even says this TWICE, so I guess it's significant).
Or you can just go with the Red Book
, which says
The silver eagle is a one ounce bullion coin with a face value of one dollar. (1993 edition, 46th edition)
The American Silver Eagle (face value $1, actual weight one ounce) is a legal-tender bullion coin with weight, content, and purity guaranteed by the federal government. (2017 Mega Red, 2nd edition)
The American Silver Eagle is a one-ounce bullion coin with a face value of one dollar. (2018 Large Print Edition, 71st Edition)
Those are the only Red Books I currently have. You Red Book
collectors can check what other editions say.
Mega Red further states
In addition to regular investment-grade strikes, the U.S. Mint offers its bullion coins in various collectible formats.
which recognizes the fact that all of the mint marked varieties of the ASE are specifically produced to be collected, rather than stacked as an investment in silver, but they are all still bullion coins.