Is this potted and indoor or in ground outdoors? I really try to avoid chemicals and even with spider mites, normally have been successful. I've used plain water spray with followed with repeated soapy water or neem solution. That said, I do have bayer advanced citrus which is a soil soak and does well with mites, that is my last resort weapon. It is food safe (if you don't eat the citrus within a period of time). I don't have experience with your suggested pesticide.

Good Luck.

Spider mites are vary easy to eliminate. They thrive in warm dry conditions. Therefore as Ken wrote above, just plain water sprays eliminate them, It could take to or three water sprays a day or so apart. Also, horticultural oil spray quickly kills them. Horticultural Oils are completely non toxic, therefor are popularly used in organic agriculture.

These are all indoor in my living room which makes me really not want to use chemicals, but also makes me really want to use chemicals and get rid of this disgusting problem.

I have sprayed them with water and azamax which is omri listed and derived from neem oil. In the last month I have probably sprayed 10 times and washed down the area they are in, the walls and floor with soapy water.

They keep coming back.

Neem oil is a preventative it doesn't do anything once you get infested.

Ive had spidermites indoors growing cannabis years ago and for you to say they are easy to eliminate makes me think you have never had them before.

I' sure silica as well as all of us have had mites. Place your tree in a shower stall and hose it down with insecticidal soap and/or neem while coating entire plant and drenching soil. Outdoors in the garden cold water from the hose daily will work even in infestations during dry spells until we get good rains. I find daily misting with plain water on a particular vulnerable does help will prevent recurrence (my yuzu for some reason is a mite magnet). As a practice each time (generally 5 to 8 days indoors currently pot size dependent) I water/liquid fertilize I also spray down all leaves and top of soil with a varying mix of neem or insecticidal soap and/or kelp extract.

I think neem is effective to kill the mites. But like most non chemical approaches, repeated treatments is required (I generally go 3-4 times, every 2-3 days). And mites float easily, so they can be reintroduced from plants elsewhere in your home, even if not close by, but pushed by your heat/ac system airflow.

If you want the assured mass mite destruction, you definitely can go with the Bayer soil drench. No spray to go around, but you'll have to avoid eating the fruit for the prescribed period.