I've got both, though my cross trainer cost 2x what my treadmill.
I'd suggest you avoid falling into the trap of buying a 'cheap' cross trainer because treadmills are more expensive.
You're unlikely to enjoy it, especially if you've had any experience of using pro gym equipment.
Look out for second hand, and go for a decent brand. I'd recommend Life Fitness, Precor or Octane.
I bet there are a few for sale having been purchased during lockdown and not used.
Or give the guys at fitness superstore in Northampton a call, they're really good.
Cheers
Guy