I've not had that issue with Amethyst personally. Loads fast, even better for me since the outbox update. Could be I am on fast connections all the time, but even with Tor enabled for everything it seems pretty snappy.
I actually get that with jumble, a long wait sometimes when first opening the page, especially when viewing the following feed.
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I'm going to try it on my Linux box. (Jumble)
It's my preferred desktop client for sure. @Cody also makes a relay solution for desktop OS.

GitHub
GitHub - CodyTseng/nostr-relay-tray: A nostr relay for desktop, available on macOS, Windows, and Linux.
A nostr relay for desktop, available on macOS, Windows, and Linux. - CodyTseng/nostr-relay-tray
I just installed the Amethyst update. It's a little faster than before. Still can't compare to #jumble though.
Honestly, i find that kind of strange. cause i have a fairly weak connection in my house. Maybe you have too many relays?
I'd say my relays are fine, 3 each inbox and outbox. Lots of people followed my note for setting Amethyst relays up with good results.
Jumble and Amethyst work in the same way in the background fundamentally, full outbox where they connect to hundreds of relays for receiving & sending notes. I always just assumed it is browser over head, and jumble needing to pull in the initial load of notes.