You are probably going to end up pulling the tank. And if you do this, I'd have a fresh fuel pump assembly ready to install. My favorite is Bosch, followed by Carter. You get what you pay for with fuel pump assemblies. Do not buy an "el-cheapo" or a "no-name" unit and do not buy an Airtex. That is unless you like doing things twice....
BTW, not a good idea in my opinion to run your gas tank that low. Both for picking up sediment and cooling. Fuel is what cools your fuel pump. As a matter of course, I don't go below 1/8th of a tank before refilling.
99 Cherokee, 4.0 AW4, NP242
Past Jeeps: 49 Willys, 81 Scrambler, 88 Comanche
Without "data", all you have is an opinion!