It appears there is already a Union monument at Olustee, or at least at the Cemetery. Has been since 1991.
I have no idea where this is in relation to the battlefield or the proposed site.
http://www.flpublicarchaeology.org/civilwar/monuments/olustee-battlefield/unity-and-peace-monument
Good find!
I guess it may be as much a matter of semantics, than of realities. This is considered to be a grave marker, rather than a battlefield memorial. Apparently, it’s located at a distance from the battlefield. For me, it works fine as a monument, but the proprietorial attitude of the SCV gets under some people’s skins.