Hardly a basic question. "Right tool" is difficult to answer without you providing all of the constraints. It's certainly well made, low cost, easy to use, fits in your shirt pocket, open interface allowing you to write custom software for it. In the case of the prototype they provided, it exceeded every specification they claimed, which I demonstrated as part of my review.
It is a sampling scope which imposes certain limitations compared with your LeCroy. The next limitation is the trigger. Then comes the slow update rate (which is going to be signal dependent). I would say last, you have a product that works differently than a typical oscilloscope. The company has made a LOT of improvements to the manual which documents much of these details in terms that even I can understand. I strongly suggest you take time reading that before making a choice. You could also ask the company for help on deciding if it would be a good fit. They are very honest and are not trying to sell products to people that can't utilize them.
As for Ethernet, I tried experimenting with PAM and I would say for PAM4, it could be useful. PAM8, things fall apart. Those experiments are posted in the long thread.
Not sure what you are looking to spend. Regards to "cheapest", the Gigawave takes it. But it also needs to fit your requirements or that money is wasted. That's your job to figure out as no one is going to understand your applications like you. I mentioned PicoScope a few times in that thread as they also offer a low cost, high BW sampling scope. Keeping in mind, low cost is 10+.
Not very helpful but again, if there is something specific you would like to see, let me know.