I'm considering a k1, what kind of reliability issues you're talking about?
I'm using an MX Keys with the Logitech dongle, it's slick without any lag (except sometimes when I have multiple Bluetooth connected things nearby + 20 visible Wi-Fi networks from my neighbors, then I can just make sure the dongle is closer).
But using the Bluetooth mode it's only as slick connecting to MacBooks, or to specific Wi-Fi/Bluetooth cards (AX201 is fine, The original Broadcom is shit).