The concept will work. You will need a larger transformer than the one you have selected, From the amazon ad:->[Max - 5000 watt for 30 minutes Use. For continuous use: 2500W. Make sure you multiply x 2 the wattage of your item and get a transformer bigger than that]
You might want to check with Senville in regards to the voltage input. The transformer you have selected is single phase 220V. The Senville unit may be looking for split phase.
We did something similar using this Victron auto transformer:
Victron Autotransformer 120/240V-100A
We used it to take the 30A 110V single phase output of our RV ready champion generator and step it up to 220 Split phase. It ran the 18K mini-split just fine. I know it is more than twice the price of the transformer you have selected, but it is several times the utility and capacity.
You might get away with thier 32 amp version which is a hundred dollars cheaper, But you would be better of paying the extra hundred bucks for the 100A unit.
When we bought ours it was 800 bucks.