Most synths only work with absolute mode.
You’d have to check if your synth does respond to relative midi messages and how to properly configure everything.
For the lfo; Octa lfos has bipolar and unipolar shapes, so if you’re sending an lfo to cc91 from your OT with a bipolar wave such as the triangle it would change the parameter around (up and down) the set value on the synth.
With unipolar shapes such as ramp, the modulation would go up or down starting from the set value on the synth.
You can easily test the behaviour with your synth, though.
Assign an lfo from OT to a parameter like filter cutoff or osc pitch on your synth which makes it easy to hear the effect of the lfo. Use a simple patch without any additional modulation.
Set filter cutoff to a middle value and turn up the lfo depth. Close the filter all the way down and turn up the lfo depth.
Open the filter fully and turn up the lfo depth.
This thread has a nice explanation of OT lfos
You talk about how that lfo would affect your controller, but you’d actually want to send the lfo through your controller to a synthesizer, right?