Algorithmic stablecoins are usually not backed by anything, Bonded stablecoins have reserve asset that backs them and is used to buy them. Mostly that reserve asset is GBYTE, but there can be any any token, even one of the stablecoins like OUSD or OUSDV2.
The name Bonded comes from bonding curve. There aren't many stablecoins with bonding curves and there isn't any with bonding surface (multi-dimensional bonding curve).
https://coinmarketcap.com/alexandria/glossary/bonding-curve
The big problem I see for your algorithmic stablecoins (OK, you may call them bounded, but they are algorithmic, large and by) is that their price in Gbyte do not reflect their real value in BTC/$. Probably to control their prices you need to implement not two-dementional but three- or even four dimensional function. The two more dimensions would be BTC and $. Market oracles would be helpful.
No, algorithmic stablecoins are those that just manipulate the total supply or price based on the demand.
Bonded Stablecoins are using bonding curves, thats where the name comes from, which means that the price is indeed algorithmic, but the coins are still backed with something.
Just because it uses math, doesn't mean it's same as what algoritmic stablecoins are known as.
It's same like Uniswap, which is using a bonding curve and is also backed by assets. Or Balancer Labs or Bancor.
I think you don't understand what the bonding curve dimensions do, but if you mean that it needs multiple assets as a reserve/collateral then that just makes everything more complex when there is already ways to keep the price on peg.
And backing a decentralized asset with fiat is only a nonsense that Ethereum people are able to come up with, but that's pretty much the best choice they can do when they have liquidations.
Bonded Stablecoins have no margin calls, no liquidations.