Cross-posting is marketing for the source platform, so you shouldn't be surprised I don't think Twitter to Mastodon cross-posting is beneficial to Mastodon.
Mastodon is a social network, and talking to each other is a big part of it. If someone has setup a cross-poster and left and never checks their notifications, it's pointless for us who are here.
@starbreaker @Gargron many twitter clients added features to mute via source (e.g. via "Facebook" or "YouTube" or "Twitter for Android" or whatever)