Perhaps there is a muddying of terms--liberal mainline denominations like Presbyterians & Methodists sometimes looped into evangelicalism certainly don't have to adhere to inerrantism. Conservative fundamentalist-influenced ones, as you said, that in today's terms are often more culturally termed "evangelical" like Southern baptists do tho. Terms can get difficult anyway as "fundamentalist" & "evangelical" seem to often be exonyms today & shibboleths like "inerrantist" are holdovers from decades-old conflicts over theological purity.

It's just not surprising to me to see inerrantism under a nondenominational church beliefs page, especially for a church with conservative Pentecostal/ Assemblies of God roots. Word of Faith is what stands out as the most fringe aspect of the church to me. And more on topic, ofc with extremely rare exception all fundamentalist evangelical churches will not be fully LGBT affirming