I seem to remember that the Lennox units are designed & made by Gree, the largest AC manufacturer in China. (Even the sheet metal of the MS7C series looks nearly identical to the Gree Vireo series.) Compare the price/performance between some Gree & Lennox units if you're really going there, but spending the money on a better mini-split is going to be worth it.
Cheap mini-splits are usually don't have a lot of tech-support or repair part availability- they're essentially "disposable" units, and usually not a great value despite the low price. It's better to buy a decent name brand like Daikin, Mitsubishi, or Fujitsu, but only if there is local distribution and installer support in your area. Support for both Mitsubishi and Fujitsu are pretty good in my area, Daikin, not so much (but some). Daikin is the world's largest vendor of variable refrigerant volume AC & heat pump equipment, but primarily in commercial space, and it's usually pretty good stuff.
Far from being a glorified window-shaker, inverter-drive mini-splits are both much quieter, more efficient, and more comfortable, than window-shakers, and deliver more stable room temps than a 1-2-speed ducted split systems. Key to getting the most comfort out of them is to consider the minimum modulated output as well as the maximum. Turn down ratios are not infinite, and bigger is not better. Sized correctly they run nearly continuously at low speed, modulating output with the cooling (or heating) load, and only cranking to high speed under peak load conditions.
In terms of modulating range, I'm a big fan of the Mitsubishi MSZ/MUZ -FH09NA 3/4 ton heat pump, which can throttle all the way back to 1600 BTU/hr in cooling mode, 1700 BTU/hr @ 47F in heating mode but still deliver 9000 BTU/hr of cooling, and over 10,000 BTU/hr of heating down to -15C/ +5F, less heat but still heating down to -25C/-13F. There's nothing remotely as flexible in the ducted AC / heat pump world.