My latest flashlight purchase is the Olight Warrior Mini. It's a nice light, certainly the 500 lumens on high is almost always sufficient without the need for 1500 lumen turbo mode but still with a very pronounced hotspot cutoff, still not a very good walking light for my purposes. Good for seeing what is on the fence on the other side of the yard but not so good for providing wide illumination for the 20 feet in front of you. When using it to walk at night, I still feel like I'm walking in a tunnel. I'm looking for a light, hopefully rechargeable and can slip in a pocket, with still a hotspot but with a nice gradual "orange peel" like cut off that will provide wider illumination with more gradual falloff for the first 20 feet in front of you, even if sacrificing throw. Does such a light exist?
The reflector texture won't IMO alter the width of the beam. An op reflector will provide more of a blurred or less contrasted hotspot to spill beam (corona). But this can vary depending on the exact LED and size of the reflector to how much of this effect you get. An op reflector can also aid in removing some artefacts from the beam. But it won't impact cut off or width of beam.
I suppose the question is, what are you wanting to achieve from the beam. I'm not 100% sure based on your info above.
The Olight Mini is not likely a thrower by any means. Although I don't have one to compare. It does look to be using a TIR optic, depending on the spec of the optic and how it is setup, it might offer quite a tight hot spot and a bright but fairly narrow spill beam. A different degree optic would change the beam profile or even a normal reflector.
In terms of TIR optics. You can buy these, although I doubt they would be easy to swap out on the Olight.
The Convoy S2+ however these are pretty easy to change.
e.g.
https://www.banggood.com/Convoy-S2+....html?cur_warehouse=CN&ID=511610&rmmds=search
Something like the above in a nice neutral white (T6)
And grab the optional lens kit:
https://www.banggood.com/DIY-Convoy....html?cur_warehouse=CN&ID=534735&rmmds=search
That way you can have a play and see how the different optics compare. Plus also the reflector in the standard light (which is shallow and small, so good for a wide flood and bright spill beam).
While I think the TIR optics above would work well, here is an example of what I think you are experiencing.
Here are two tube lights (tan one is a Convoy S2+ and the black one a BLF A6). Both have the same LED, an XP-L.
The tan S2+ is running a TIR optic, but one that tightly focuses the beam. I think it might be a 10 degree one (its one I had from another project and just fitted to this light). The black A6 is using an op reflector. Importantly the heads are the same size on these.
And here is the difference in beam.
S2+ with the TIR on the left ---- A6 with the reflector on the right
As you can see. The hotspot is about the same size on both lights and similar intensity. The real difference is the spill beam. With this particular TIR optic, the spill beam is very narrow but bright. With the reflector the spill beam is much wider and maybe 4 times the size or more. But is generally a lot less bright.