Probably should include a picture of the current BIN options in the first pic. Your bias in the situation has impacted your presentation of the question, imo.
Of course auctions for this card are going to go low - it’s a wildly unpopular set with a somewhat unpopular (relatively speaking) pokemon. I’m sure this has been said a million times already, but if you were to put the card up for auction, you should expect auction result prices. The nature of an auction is limited exposure, limited availability, but guaranteed money within a short timeframe. This causes prices to be low if the card doesn’t lend itself to higher exposure than other cards (i.e., it isn’t a charizard, gold star, shining, or crystal card).
If you put the card up for BIN, you should expect BIN result prices. The nature of a BIN listing is more exposure (the listing can sit indefinitely), generally more availability since you’re competing vs. other BIN listings, but no guarantee of a sale at the price that you set. Generally speaking, for a PSA 10 graded card that can be considered roughly the same as other PSA 10 graded cards, your best bet at selling an item is going to be pricing the item lower than the other BIN listings.
The difference between Auction Result Prices and BIN Result Prices can be huge for some sets/cards. The more ‘unpopular’ a card is (which in turn, results in less exposure and less awareness of its auction status), the wider this gap will be. I’ve seen the same situation play out with PSA 10 shadowless nonholo rare trainers - these have sold at auction for $20-$30, but can be seen selling at BIN prices of $200+ (albeit, very rarely).
If I were to try and model a card’s expected value at auction, I’d think it’d look something like this:

where ε represents the amount of exposure the card receives (0 being no exposure, the closer you get to 1 being something akin to a PWCC auction with a good title, very popular card like Charizard 1st Ed Base, ending at a good time) and μBIN represents the average of past BIN sales [say, within a recent time frame, with the accuracy of this number increasing as the number of BIN sales being averaged increases]. Null case: Of course, if there are no BIN sales to reference, you shouldn’t expect to be able to have an idea of what price the item would bring at auction using this model.
With this model, the price that you should expect to receive from an auction is based on BIN prices, but depends on the exposure (popularity, desirability, seller) of the card. This would explain the huge price discrepancies between Auction and BIN prices that we see for some cards (e.g., this PSA 10 Expedition Clefable, PSA 10 shadowless nonholo rare trainers) but not others (e.g., a PSA 10 1st Edition Shining Charizard nails the 2k price point no matter how it’s sold - an auction for a card like this is going to have an ε near 1 almost every single time due to its popularity/desirability, which means that auction prices are pretty much bang-on with past BIN prices).
Of course, there are a ton of other variables that can have an effect on the expected value of the final auction price, e.g. market fluctuations, reputability of a seller (feedback, trimming habits), or shilling sellers, that this model doesn’t capture, but the general idea holds strong: Unless you have a card that is insanely popular/desirable, you are a reputable seller, and your listings get great visibility, you should expect that the final price of your auction is going to be less than the BIN sales price history of that same card.