I have wrestled with this phenomena about perceived tone in different acoustic environments. Maybe more so related to solo extended range bass with effects and e-percussion accompaniment. But, maybe similar observations may help.
First, I am figuring this to be way more complex than this simple reply...but, depending on the size of the room you are challenged to fill, your perception (and the audiences) of your contribution seems to be related to the relationship of the room size, population/sound density interference (at amplitude and tonal characteristics) and your equipment. In larger rooms, more speakers can help. More power can help. Both together can help.
Second, if going through the PA or monitors, you are reliant on the sound tech’s mix. The speakers may be different than your own and the measured effort may be more for audibility than tonality (monitors) or for frequency notching (front of house PA).
If you have a personal/backline rig...you may have to adjust settings (all settings) to accommodate front of house, monitor and your own rig monitoring.
Locally, in amateur smaller club (or similar) settings, this gets to be a challenge. Bottom line. It has taken me awhile to understand and use all of the controls I have in my rig...and I continue to learn at every opportunity. I can never stop learning or exploring. This from a guy that depended on a 1 setting for all circumstances years ago.