With V3 txns and things like it wouldn’t LSPs and others just pay miners out-of-band to mine the tx and let the anchor output just go unspent? Doesn’t seem like a trusted relationship to me because you can fall back to the expensive V3 mechanism. I wouldn’t expect them to care about the UTXO set being polluted with anchors.
Why would they need a mining operation rather than use an accelerator like mempool.space/ViaBTC/Binance/etc?