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its not a network that should allow in payments of other assets..

Why not? Even Satoshi wrote about trading Bitcoin for BitDNS domains:

Quote from: satoshi on December 10, 2010, 05:29:28 PM

Fears about securely buying domains with Bitcoins are a red herring. It's easy to trade Bitcoins for other non-repudiable commodities.

If you're still worried about it, it's cryptographically possible to make a risk free trade. The two parties would set up transactions on both sides such that when they both sign the transactions, the second signer's signature triggers the release of both. The second signer can't release one without releasing the other.

However, he also wrote that putting full data related to other assets is not a good idea:

Quote from: satoshi on December 10, 2010, 05:29:28 PM

Piling every proof-of-work quorum system in the world into one dataset doesn't scale.

Bitcoin and BitDNS can be used separately. Users shouldn't have to download all of both to use one or the other. BitDNS users may not want to download everything the next several unrelated networks decide to pile in either.

The networks need to have separate fates. BitDNS users might be completely liberal about adding any large data features since relatively few domain registrars are needed, while Bitcoin users might get increasingly tyrannical about limiting the size of the chain so it's easy for lots of users and small devices.

That means he approved BitDNS, but not by putting all of those domains' details into Bitcoin transactions. And this is the problem with ordinals: the concept may be acceptable, but not the way how it is done.

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And they should really use OP_RETURN, not a Taproot hack.

Even better: they could use OP_RETURN inside TapScript (and then stop worrying about any size limits, except those enforced by separate network for ordinals). Then, the owner of a particular Taproot address can always reveal TapScript in some ordinals network, while it will be guaranteed that this TapScript will never be pushed on-chain. And then, other TapScript branches or spend-by-key can be used to move those ordinals.