The Minibull looks like the same principle as the Smartwater or Propel Bottle Cap for backflushing.
I have a Mini and its size and weight are unbeatable, but if you have to carry a large syringe to backflush, it negates much of the benefit over the Squeeze, especially with the flow rate being noticeably slower. I have a Squeeze as well, and I haven't had any real problems backflushing it. For 1 1/2 years or so, I've only used the Smart Water bottle cap to backflush, but I periodically backflush vinegar through it, let it soak, and follow with several flushes of very warm tap water. It still seems to flow nearly as good as new. I would accept the slower flow rate of the Mini if I can maintain it without carrying a syringe.
I'm curious as to why Sawyer cautions about "using a backflush option with sufficient flow so that channels aren't created in the filter media" when the syringe they supply makes it nearly impossible to achieve an adequate seal on the filter and is therefore unable to get that flow inside where it needs to go. I am able to get a much higher volume into the filter with the Smartwater cap and a plastic bottle, but is it adequate?
I am going to try to continue with the Mini, no syringe, and see if I can maintain a near new flow rate by not allowing it to dry out, regular backflushing (with Smartwater cap), and periodic vinegar/warm water flushes.