I’ve been in your position, you can actually talk yourself out of a purchase playing each machine against each other
So I would weigh up what you want from the machine and make a list.
Most e61 machines will take longer to warm than the Elizabeth, there are a few that are close to it
All e61 bar the minima will need the cams lubing after a chemical clean the Liz won’t
Most e61 machines look visually better than the Liz imo, but if you like sage machines the Liz is only a small jump.
I would get the Liz to pair with your grinder, get a nice tamper, some ims competition baskets and then look at a good water source so you never have to descale.
