Mini lathes?

The spending does not stop after the lathe purchase. Tooling can get expensive, you're always looking for the next creative way to do things. I own a Sherline, as do a few others here, while others own a Taig, either one is good. Sherline has many more options in my opinion. Either one will do the job, as will the one you mentioned. You want to keep chuck runout to a minimum. Higher quality lathes reduce this factor. You get what you pay for.

Having never personally used the 7x10 Harbor Freight lathe, but having heard them run while watching videos of them, they sound noisy. Noise translates into vibration which can turn in unwanted harmonics while turning a wheel. I could be wrong about this but this is why I chose to stay away from the overseas built lathes. JM2C

Many people in the hobby have the harbor freight variant of that Chinese lathe, but as pointed out prior, there are many options.

Have you spent time here ?

You'll spend at least as much in tooling as you will for the lathe.
You can buy an awful lot of wheels for the price of a lathe and tools.

Plus one on the mill. Now I want one of those too.

Yeah, you're a bad influence!