Not a fan of bottom irrigation for anything soilless. It's not as bad with soil/supersoil etc. Soilless mediums need consistent runoff to maintain nutrition levels over time. Might as well grow in soil if not doing that every fertigation.
Any process that benefits from a little runoff is manual labor for you if using a bottom-irrigation setup - on top of other drawbacks listed by others. You can manually do some occassional top-down irrigations, and likely will need to incorporate such behaviour regardless, but that kinda defeats the purpose of having automated irrigation, eh?
I suggest a diy irrigation setup. Use pressure-controlled drippers and it's easy as pie. It'll be cheaper than branded products but might cost slightly more than a pump-less bottom irrigation setup unless they really rape you on the price, lol. A pump, 1/2" tubing, some fittings and a reservoir doesn't cost much. Can build a system for 12 plants and spend less than 200 USD, erring on high side. That's buying a nice 55-gal barrel and not using some flimsy trash can as a reservoir, lol. Smaller setups will be even cheaper.
Check out my irrigation system. Week 10 of any of my "mint" diaries has a short video as well as the automated drain. Cheaper. Better.