I've never used the Mooer GE250 Pro, but it doesn't look like a bad unit.
As for the DI box, unless the house really expects you to use the DI, you can completely bypass it by running the XLR outputs direct to the mix. Of course, it does have the 1/4" outputs, so you can run those to the DI, if you have to. The purpose of the direct inject (DI) box is to convert high-impedance, unbalanced audio to low-impedance, balanced audio. Since the XLR outputs are your low-impedance, balanced audio, you don't really need the DI box. But, of course, some venues may not like you unplugging their stuff, so you can always run your unbalanced outputs (the 1/4" outputs) to the DI, if that's what they prefer. Personally, I prefer to have as little stuff in the audio chain as possible, so in those instances where I've used house audio and they let me bypass a DI box, I always opt for that.
But, as for the unit itself, like I said, I have never used it. But, honestly, the emulation technology has gotten so good these days that you'll probably be fine with that. It may lack some features and bells and whistles, but it should sound okay.