As someone that recently purchased a DX5 Lite and was worried about the dual-output mode being something you had to toggle through to get to other modes (like some revisions of the DX3), I can say confidently that it's not an issue with the DX5, since you just hit the headphone (4-4) or Line Out (4-11) buttons on the remote to get to straight to the mode you want. 4-4 sets you into headphone out (with no further toggles available, since both phone outputs are simultaneously active, as multiple posters have noted above), while 4-11 initially sets you into line out mode from whichever output you last had it set on, after which repeated presses of the same button toggle between XLR out, RCA out, and XLR+RCA out. 4-8 (the middle button) does put you directly into the combined output (headphones + line out) mode and uses whichever line out mode you set with 4-11, but I've never bothered hit that button (intentionally or unintentionally) after my initial test of the remote, because I can't see what purpose the mode would serve and it's not easy to accidentally bump. I suppose the dual-output mode could be useful in rare circumstances where you wanted to be able to monitor a mix via headphones while playing it out to others through speakers, but since there aren't any other DJ-oriented monitoring features available with the hardware, it's not entirely clear to me why they bothered including the dual output option at all, other than that it happens to be standard on most Topping devices.
EDIT: Also, Topping was nice enough to have volume levels stored separately for each output, so when you toggle from headphones to speakers or vice-versa, it always goes back to the volume level you last had set for that device (which seems to be the standard behavior for any quality amp/DAC these days, since my Element III does the same). The dual-output mode is considered a third, entirely separate mode in the volume context, so you can also just set it to -99 and leave it there to be ultra safe if you never expect to legitimately use the mode.